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Finding the Fourth Proportional to 15,782.72, 21,760.80 and 12,787.52

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Solution

The fourth proportional to 15,782.72, 21,760.80 and 12,787.52 is: 17,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.72 : 21,760.80 = 12,787.52 : x
  2. Step 2: Convert to fraction form
    15,782.72/21,760.80 = 12,787.52/x
  3. Step 3: Cross multiply
    15,782.72x = 21,760.80 × 12,787.52
  4. Step 4: Simplify right side
    15,782.72x = 278,266,665.22
  5. Step 5: Solve for x
    x = 278,266,665.22/15,782.72
  6. Step 6: Final answer
    x = 17,631.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.