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Finding the Fourth Proportional to 24,562.13, 36,844.10 and 7,922.40

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Solution

The fourth proportional to 24,562.13, 36,844.10 and 7,922.40 is: 11,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562.13 : 36,844.10 = 7,922.40 : x
  2. Step 2: Convert to fraction form
    24,562.13/36,844.10 = 7,922.40/x
  3. Step 3: Cross multiply
    24,562.13x = 36,844.10 × 7,922.40
  4. Step 4: Simplify right side
    24,562.13x = 291,893,658.23
  5. Step 5: Solve for x
    x = 291,893,658.23/24,562.13
  6. Step 6: Final answer
    x = 11,883.89

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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.