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Finding the Fourth Proportional to 12,847.56, 17,730.95 and 7,812.15

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Solution

The fourth proportional to 12,847.56, 17,730.95 and 7,812.15 is: 10,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.56 : 17,730.95 = 7,812.15 : x
  2. Step 2: Convert to fraction form
    12,847.56/17,730.95 = 7,812.15/x
  3. Step 3: Cross multiply
    12,847.56x = 17,730.95 × 7,812.15
  4. Step 4: Simplify right side
    12,847.56x = 138,516,779.43
  5. Step 5: Solve for x
    x = 138,516,779.43/12,847.56
  6. Step 6: Final answer
    x = 10,781.56

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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.