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Finding the Fourth Proportional to 24,678.64, 37,098.24 and 19,801.72

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Solution

The fourth proportional to 24,678.64, 37,098.24 and 19,801.72 is: 29,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.64 : 37,098.24 = 19,801.72 : x
  2. Step 2: Convert to fraction form
    24,678.64/37,098.24 = 19,801.72/x
  3. Step 3: Cross multiply
    24,678.64x = 37,098.24 × 19,801.72
  4. Step 4: Simplify right side
    24,678.64x = 734,608,960.97
  5. Step 5: Solve for x
    x = 734,608,960.97/24,678.64
  6. Step 6: Final answer
    x = 29,767.00

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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.