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Finding the Fourth Proportional to 12,816.90, 17,686.89 and 7,515.23

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Solution

The fourth proportional to 12,816.90, 17,686.89 and 7,515.23 is: 10,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.90 : 17,686.89 = 7,515.23 : x
  2. Step 2: Convert to fraction form
    12,816.90/17,686.89 = 7,515.23/x
  3. Step 3: Cross multiply
    12,816.90x = 17,686.89 × 7,515.23
  4. Step 4: Simplify right side
    12,816.90x = 132,920,957.90
  5. Step 5: Solve for x
    x = 132,920,957.90/12,816.90
  6. Step 6: Final answer
    x = 10,370.76

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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.