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Finding the Fourth Proportional to 25,613.64, 38,419.74 and 13,949.64

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Solution

The fourth proportional to 25,613.64, 38,419.74 and 13,949.64 is: 20,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.64 : 38,419.74 = 13,949.64 : x
  2. Step 2: Convert to fraction form
    25,613.64/38,419.74 = 13,949.64/x
  3. Step 3: Cross multiply
    25,613.64x = 38,419.74 × 13,949.64
  4. Step 4: Simplify right side
    25,613.64x = 535,941,541.89
  5. Step 5: Solve for x
    x = 535,941,541.89/25,613.64
  6. Step 6: Final answer
    x = 20,924.07

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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.