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Finding the Fourth Proportional to 17,424.47, 24,049.28 and 10,349.53

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Solution

The fourth proportional to 17,424.47, 24,049.28 and 10,349.53 is: 14,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424.47 : 24,049.28 = 10,349.53 : x
  2. Step 2: Convert to fraction form
    17,424.47/24,049.28 = 10,349.53/x
  3. Step 3: Cross multiply
    17,424.47x = 24,049.28 × 10,349.53
  4. Step 4: Simplify right side
    17,424.47x = 248,898,710.59
  5. Step 5: Solve for x
    x = 248,898,710.59/17,424.47
  6. Step 6: Final answer
    x = 14,284.43

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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.