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Finding the Fourth Proportional to 25,585.68, 38,390.04 and 11,546.64

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Solution

The fourth proportional to 25,585.68, 38,390.04 and 11,546.64 is: 17,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585.68 : 38,390.04 = 11,546.64 : x
  2. Step 2: Convert to fraction form
    25,585.68/38,390.04 = 11,546.64/x
  3. Step 3: Cross multiply
    25,585.68x = 38,390.04 × 11,546.64
  4. Step 4: Simplify right side
    25,585.68x = 443,275,971.47
  5. Step 5: Solve for x
    x = 443,275,971.47/25,585.68
  6. Step 6: Final answer
    x = 17,325.16

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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.