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Finding the Fourth Proportional to 12,902.32, 17,802 and 8,184.88

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Solution

The fourth proportional to 12,902.32, 17,802 and 8,184.88 is: 11,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.32 : 17,802 = 8,184.88 : x
  2. Step 2: Convert to fraction form
    12,902.32/17,802 = 8,184.88/x
  3. Step 3: Cross multiply
    12,902.32x = 17,802 × 8,184.88
  4. Step 4: Simplify right side
    12,902.32x = 145,707,233.76
  5. Step 5: Solve for x
    x = 145,707,233.76/12,902.32
  6. Step 6: Final answer
    x = 11,293.10

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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.