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Finding the Fourth Proportional to 17,649.29, 24,356.53 and 9,991.96

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Solution

The fourth proportional to 17,649.29, 24,356.53 and 9,991.96 is: 13,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.29 : 24,356.53 = 9,991.96 : x
  2. Step 2: Convert to fraction form
    17,649.29/24,356.53 = 9,991.96/x
  3. Step 3: Cross multiply
    17,649.29x = 24,356.53 × 9,991.96
  4. Step 4: Simplify right side
    17,649.29x = 243,369,425.10
  5. Step 5: Solve for x
    x = 243,369,425.10/17,649.29
  6. Step 6: Final answer
    x = 13,789.19

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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.