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Finding the Fourth Proportional to 14,562.97, 20,085.65 and 12,549.71

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Solution

The fourth proportional to 14,562.97, 20,085.65 and 12,549.71 is: 17,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.97 : 20,085.65 = 12,549.71 : x
  2. Step 2: Convert to fraction form
    14,562.97/20,085.65 = 12,549.71/x
  3. Step 3: Cross multiply
    14,562.97x = 20,085.65 × 12,549.71
  4. Step 4: Simplify right side
    14,562.97x = 252,069,117.19
  5. Step 5: Solve for x
    x = 252,069,117.19/14,562.97
  6. Step 6: Final answer
    x = 17,308.91

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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.