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Finding the Fourth Proportional to 25,493.97, 38,244.85 and 13,007.19

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Solution

The fourth proportional to 25,493.97, 38,244.85 and 13,007.19 is: 19,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.97 : 38,244.85 = 13,007.19 : x
  2. Step 2: Convert to fraction form
    25,493.97/38,244.85 = 13,007.19/x
  3. Step 3: Cross multiply
    25,493.97x = 38,244.85 × 13,007.19
  4. Step 4: Simplify right side
    25,493.97x = 497,458,030.47
  5. Step 5: Solve for x
    x = 497,458,030.47/25,493.97
  6. Step 6: Final answer
    x = 19,512.77

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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.