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Finding the Fourth Proportional to 14,447.84, 19,937.06 and 8,159.81

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Solution

The fourth proportional to 14,447.84, 19,937.06 and 8,159.81 is: 11,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.84 : 19,937.06 = 8,159.81 : x
  2. Step 2: Convert to fraction form
    14,447.84/19,937.06 = 8,159.81/x
  3. Step 3: Cross multiply
    14,447.84x = 19,937.06 × 8,159.81
  4. Step 4: Simplify right side
    14,447.84x = 162,682,630.60
  5. Step 5: Solve for x
    x = 162,682,630.60/14,447.84
  6. Step 6: Final answer
    x = 11,259.99

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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.