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Finding the Fourth Proportional to 12,932.83, 17,854.14 and 8,706.12

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Solution

The fourth proportional to 12,932.83, 17,854.14 and 8,706.12 is: 12,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.83 : 17,854.14 = 8,706.12 : x
  2. Step 2: Convert to fraction form
    12,932.83/17,854.14 = 8,706.12/x
  3. Step 3: Cross multiply
    12,932.83x = 17,854.14 × 8,706.12
  4. Step 4: Simplify right side
    12,932.83x = 155,440,285.34
  5. Step 5: Solve for x
    x = 155,440,285.34/12,932.83
  6. Step 6: Final answer
    x = 12,019.05

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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.