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Finding the Fourth Proportional to 12,700.97, 17,531.16 and 8,225.05

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Solution

The fourth proportional to 12,700.97, 17,531.16 and 8,225.05 is: 11,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.97 : 17,531.16 = 8,225.05 : x
  2. Step 2: Convert to fraction form
    12,700.97/17,531.16 = 8,225.05/x
  3. Step 3: Cross multiply
    12,700.97x = 17,531.16 × 8,225.05
  4. Step 4: Simplify right side
    12,700.97x = 144,194,579.90
  5. Step 5: Solve for x
    x = 144,194,579.90/12,700.97
  6. Step 6: Final answer
    x = 11,353.04

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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.