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Finding the Fourth Proportional to 15,700.20, 21,658.78 and 11,442.13

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Solution

The fourth proportional to 15,700.20, 21,658.78 and 11,442.13 is: 15,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.20 : 21,658.78 = 11,442.13 : x
  2. Step 2: Convert to fraction form
    15,700.20/21,658.78 = 11,442.13/x
  3. Step 3: Cross multiply
    15,700.20x = 21,658.78 × 11,442.13
  4. Step 4: Simplify right side
    15,700.20x = 247,822,576.40
  5. Step 5: Solve for x
    x = 247,822,576.40/15,700.20
  6. Step 6: Final answer
    x = 15,784.68

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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.