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Finding the Fourth Proportional to 12,780.50, 17,636.52 and 7,112.70

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Solution

The fourth proportional to 12,780.50, 17,636.52 and 7,112.70 is: 9,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.50 : 17,636.52 = 7,112.70 : x
  2. Step 2: Convert to fraction form
    12,780.50/17,636.52 = 7,112.70/x
  3. Step 3: Cross multiply
    12,780.50x = 17,636.52 × 7,112.70
  4. Step 4: Simplify right side
    12,780.50x = 125,443,275.80
  5. Step 5: Solve for x
    x = 125,443,275.80/12,780.50
  6. Step 6: Final answer
    x = 9,815.21

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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.