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Finding the Fourth Proportional to 12,781.83, 17,627.63 and 8,307.14

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Solution

The fourth proportional to 12,781.83, 17,627.63 and 8,307.14 is: 11,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.83 : 17,627.63 = 8,307.14 : x
  2. Step 2: Convert to fraction form
    12,781.83/17,627.63 = 8,307.14/x
  3. Step 3: Cross multiply
    12,781.83x = 17,627.63 × 8,307.14
  4. Step 4: Simplify right side
    12,781.83x = 146,435,060.60
  5. Step 5: Solve for x
    x = 146,435,060.60/12,781.83
  6. Step 6: Final answer
    x = 11,456.50

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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.