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Finding the Fourth Proportional to 24,728.61, 37,097.77 and 9,146.37

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Solution

The fourth proportional to 24,728.61, 37,097.77 and 9,146.37 is: 13,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.61 : 37,097.77 = 9,146.37 : x
  2. Step 2: Convert to fraction form
    24,728.61/37,097.77 = 9,146.37/x
  3. Step 3: Cross multiply
    24,728.61x = 37,097.77 × 9,146.37
  4. Step 4: Simplify right side
    24,728.61x = 339,309,930.59
  5. Step 5: Solve for x
    x = 339,309,930.59/24,728.61
  6. Step 6: Final answer
    x = 13,721.35

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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.