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Finding the Fourth Proportional to 16,547.68, 22,839.36 and 10,174.24

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Solution

The fourth proportional to 16,547.68, 22,839.36 and 10,174.24 is: 14,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.68 : 22,839.36 = 10,174.24 : x
  2. Step 2: Convert to fraction form
    16,547.68/22,839.36 = 10,174.24/x
  3. Step 3: Cross multiply
    16,547.68x = 22,839.36 × 10,174.24
  4. Step 4: Simplify right side
    16,547.68x = 232,373,130.09
  5. Step 5: Solve for x
    x = 232,373,130.09/16,547.68
  6. Step 6: Final answer
    x = 14,042.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.