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Finding the Fourth Proportional to 25,689.68, 38,508.09 and 12,342.63

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Solution

The fourth proportional to 25,689.68, 38,508.09 and 12,342.63 is: 18,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.68 : 38,508.09 = 12,342.63 : x
  2. Step 2: Convert to fraction form
    25,689.68/38,508.09 = 12,342.63/x
  3. Step 3: Cross multiply
    25,689.68x = 38,508.09 × 12,342.63
  4. Step 4: Simplify right side
    25,689.68x = 475,291,205.00
  5. Step 5: Solve for x
    x = 475,291,205.00/25,689.68
  6. Step 6: Final answer
    x = 18,501.25

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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.