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Finding the Fourth Proportional to 22,778.75, 31,437.11 and 12,710.69

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Solution

The fourth proportional to 22,778.75, 31,437.11 and 12,710.69 is: 17,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.75 : 31,437.11 = 12,710.69 : x
  2. Step 2: Convert to fraction form
    22,778.75/31,437.11 = 12,710.69/x
  3. Step 3: Cross multiply
    22,778.75x = 31,437.11 × 12,710.69
  4. Step 4: Simplify right side
    22,778.75x = 399,587,352.19
  5. Step 5: Solve for x
    x = 399,587,352.19/22,778.75
  6. Step 6: Final answer
    x = 17,542.11

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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.