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Finding the Fourth Proportional to 25,689.15, 38,539.89 and 8,159.00

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Solution

The fourth proportional to 25,689.15, 38,539.89 and 8,159.00 is: 12,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.15 : 38,539.89 = 8,159.00 : x
  2. Step 2: Convert to fraction form
    25,689.15/38,539.89 = 8,159.00/x
  3. Step 3: Cross multiply
    25,689.15x = 38,539.89 × 8,159.00
  4. Step 4: Simplify right side
    25,689.15x = 314,446,769.81
  5. Step 5: Solve for x
    x = 314,446,769.81/25,689.15
  6. Step 6: Final answer
    x = 12,240.45

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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.