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Finding the Fourth Proportional to 12,870.50, 17,761.17 and 7,281.50

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Solution

The fourth proportional to 12,870.50, 17,761.17 and 7,281.50 is: 10,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.50 : 17,761.17 = 7,281.50 : x
  2. Step 2: Convert to fraction form
    12,870.50/17,761.17 = 7,281.50/x
  3. Step 3: Cross multiply
    12,870.50x = 17,761.17 × 7,281.50
  4. Step 4: Simplify right side
    12,870.50x = 129,327,959.36
  5. Step 5: Solve for x
    x = 129,327,959.36/12,870.50
  6. Step 6: Final answer
    x = 10,048.40

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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.