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Finding the Fourth Proportional to 12,985.60, 17,911.68 and 7,680

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Solution

The fourth proportional to 12,985.60, 17,911.68 and 7,680 is: 10,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.60 : 17,911.68 = 7,680 : x
  2. Step 2: Convert to fraction form
    12,985.60/17,911.68 = 7,680/x
  3. Step 3: Cross multiply
    12,985.60x = 17,911.68 × 7,680
  4. Step 4: Simplify right side
    12,985.60x = 137,561,702.40
  5. Step 5: Solve for x
    x = 137,561,702.40/12,985.60
  6. Step 6: Final answer
    x = 10,593.40

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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.