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Finding the Fourth Proportional to 25,585.47, 38,345.40 and 12,255.71

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Solution

The fourth proportional to 25,585.47, 38,345.40 and 12,255.71 is: 18,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585.47 : 38,345.40 = 12,255.71 : x
  2. Step 2: Convert to fraction form
    25,585.47/38,345.40 = 12,255.71/x
  3. Step 3: Cross multiply
    25,585.47x = 38,345.40 × 12,255.71
  4. Step 4: Simplify right side
    25,585.47x = 469,949,910.51
  5. Step 5: Solve for x
    x = 469,949,910.51/25,585.47
  6. Step 6: Final answer
    x = 18,367.84

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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.