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Finding the Fourth Proportional to 12,780.69, 17,635.95 and 7,114.56

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Solution

The fourth proportional to 12,780.69, 17,635.95 and 7,114.56 is: 9,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.69 : 17,635.95 = 7,114.56 : x
  2. Step 2: Convert to fraction form
    12,780.69/17,635.95 = 7,114.56/x
  3. Step 3: Cross multiply
    12,780.69x = 17,635.95 × 7,114.56
  4. Step 4: Simplify right side
    12,780.69x = 125,472,024.43
  5. Step 5: Solve for x
    x = 125,472,024.43/12,780.69
  6. Step 6: Final answer
    x = 9,817.31

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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.