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Finding the Fourth Proportional to 24,932.14, 37,387.11 and 9,133.00

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Solution

The fourth proportional to 24,932.14, 37,387.11 and 9,133.00 is: 13,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932.14 : 37,387.11 = 9,133.00 : x
  2. Step 2: Convert to fraction form
    24,932.14/37,387.11 = 9,133.00/x
  3. Step 3: Cross multiply
    24,932.14x = 37,387.11 × 9,133.00
  4. Step 4: Simplify right side
    24,932.14x = 341,456,562.50
  5. Step 5: Solve for x
    x = 341,456,562.50/24,932.14
  6. Step 6: Final answer
    x = 13,695.44

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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.