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Finding the Fourth Proportional to 14,701.80, 20,299.07 and 9,044.16

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Solution

The fourth proportional to 14,701.80, 20,299.07 and 9,044.16 is: 12,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.80 : 20,299.07 = 9,044.16 : x
  2. Step 2: Convert to fraction form
    14,701.80/20,299.07 = 9,044.16/x
  3. Step 3: Cross multiply
    14,701.80x = 20,299.07 × 9,044.16
  4. Step 4: Simplify right side
    14,701.80x = 183,587,991.71
  5. Step 5: Solve for x
    x = 183,587,991.71/14,701.80
  6. Step 6: Final answer
    x = 12,487.45

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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.