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Finding the Fourth Proportional to 17,497.72, 24,143.16 and 10,426.42

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Solution

The fourth proportional to 17,497.72, 24,143.16 and 10,426.42 is: 14,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.72 : 24,143.16 = 10,426.42 : x
  2. Step 2: Convert to fraction form
    17,497.72/24,143.16 = 10,426.42/x
  3. Step 3: Cross multiply
    17,497.72x = 24,143.16 × 10,426.42
  4. Step 4: Simplify right side
    17,497.72x = 251,726,726.29
  5. Step 5: Solve for x
    x = 251,726,726.29/17,497.72
  6. Step 6: Final answer
    x = 14,386.26

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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.