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Finding the Fourth Proportional to 24,097.98, 33,256.49 and 15,142.17

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Solution

The fourth proportional to 24,097.98, 33,256.49 and 15,142.17 is: 20,896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.98 : 33,256.49 = 15,142.17 : x
  2. Step 2: Convert to fraction form
    24,097.98/33,256.49 = 15,142.17/x
  3. Step 3: Cross multiply
    24,097.98x = 33,256.49 × 15,142.17
  4. Step 4: Simplify right side
    24,097.98x = 503,575,349.47
  5. Step 5: Solve for x
    x = 503,575,349.47/24,097.98
  6. Step 6: Final answer
    x = 20,896.99

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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.