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Finding the Fourth Proportional to 12,374.50, 17,079.54 and 9,680.38

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Solution

The fourth proportional to 12,374.50, 17,079.54 and 9,680.38 is: 13,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.50 : 17,079.54 = 9,680.38 : x
  2. Step 2: Convert to fraction form
    12,374.50/17,079.54 = 9,680.38/x
  3. Step 3: Cross multiply
    12,374.50x = 17,079.54 × 9,680.38
  4. Step 4: Simplify right side
    12,374.50x = 165,336,437.43
  5. Step 5: Solve for x
    x = 165,336,437.43/12,374.50
  6. Step 6: Final answer
    x = 13,361.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.