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Finding the Fourth Proportional to 14,305.84, 19,742.76 and 8,018.80

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Solution

The fourth proportional to 14,305.84, 19,742.76 and 8,018.80 is: 11,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.84 : 19,742.76 = 8,018.80 : x
  2. Step 2: Convert to fraction form
    14,305.84/19,742.76 = 8,018.80/x
  3. Step 3: Cross multiply
    14,305.84x = 19,742.76 × 8,018.80
  4. Step 4: Simplify right side
    14,305.84x = 158,313,243.89
  5. Step 5: Solve for x
    x = 158,313,243.89/14,305.84
  6. Step 6: Final answer
    x = 11,066.34

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.