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Finding the Fourth Proportional to 12,902.52, 17,788.98 and 8,357.18

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Solution

The fourth proportional to 12,902.52, 17,788.98 and 8,357.18 is: 11,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.52 : 17,788.98 = 8,357.18 : x
  2. Step 2: Convert to fraction form
    12,902.52/17,788.98 = 8,357.18/x
  3. Step 3: Cross multiply
    12,902.52x = 17,788.98 × 8,357.18
  4. Step 4: Simplify right side
    12,902.52x = 148,665,618.93
  5. Step 5: Solve for x
    x = 148,665,618.93/12,902.52
  6. Step 6: Final answer
    x = 11,522.22

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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.