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Finding the Fourth Proportional to 24,100.14, 36,122.49 and 9,302.58

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Solution

The fourth proportional to 24,100.14, 36,122.49 and 9,302.58 is: 13,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100.14 : 36,122.49 = 9,302.58 : x
  2. Step 2: Convert to fraction form
    24,100.14/36,122.49 = 9,302.58/x
  3. Step 3: Cross multiply
    24,100.14x = 36,122.49 × 9,302.58
  4. Step 4: Simplify right side
    24,100.14x = 336,032,353.02
  5. Step 5: Solve for x
    x = 336,032,353.02/24,100.14
  6. Step 6: Final answer
    x = 13,943.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.