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Finding the Fourth Proportional to 12,713.64, 17,545.98 and 7,680.36

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Solution

The fourth proportional to 12,713.64, 17,545.98 and 7,680.36 is: 10,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.64 : 17,545.98 = 7,680.36 : x
  2. Step 2: Convert to fraction form
    12,713.64/17,545.98 = 7,680.36/x
  3. Step 3: Cross multiply
    12,713.64x = 17,545.98 × 7,680.36
  4. Step 4: Simplify right side
    12,713.64x = 134,759,442.95
  5. Step 5: Solve for x
    x = 134,759,442.95/12,713.64
  6. Step 6: Final answer
    x = 10,599.60

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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.