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Finding the Fourth Proportional to 14,808.82, 20,435.84 and 8,094.46

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Solution

The fourth proportional to 14,808.82, 20,435.84 and 8,094.46 is: 11,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,808.82 : 20,435.84 = 8,094.46 : x
  2. Step 2: Convert to fraction form
    14,808.82/20,435.84 = 8,094.46/x
  3. Step 3: Cross multiply
    14,808.82x = 20,435.84 × 8,094.46
  4. Step 4: Simplify right side
    14,808.82x = 165,417,089.45
  5. Step 5: Solve for x
    x = 165,417,089.45/14,808.82
  6. Step 6: Final answer
    x = 11,170.17

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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.