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Finding the Fourth Proportional to 12,856.61, 19,275.59 and 8,686.19

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Solution

The fourth proportional to 12,856.61, 19,275.59 and 8,686.19 is: 13,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.61 : 19,275.59 = 8,686.19 : x
  2. Step 2: Convert to fraction form
    12,856.61/19,275.59 = 8,686.19/x
  3. Step 3: Cross multiply
    12,856.61x = 19,275.59 × 8,686.19
  4. Step 4: Simplify right side
    12,856.61x = 167,431,340.72
  5. Step 5: Solve for x
    x = 167,431,340.72/12,856.61
  6. Step 6: Final answer
    x = 13,022.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.