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Finding the Fourth Proportional to 25,513.64, 38,274.42 and 13,026.90

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Solution

The fourth proportional to 25,513.64, 38,274.42 and 13,026.90 is: 19,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,513.64 : 38,274.42 = 13,026.90 : x
  2. Step 2: Convert to fraction form
    25,513.64/38,274.42 = 13,026.90/x
  3. Step 3: Cross multiply
    25,513.64x = 38,274.42 × 13,026.90
  4. Step 4: Simplify right side
    25,513.64x = 498,597,041.90
  5. Step 5: Solve for x
    x = 498,597,041.90/25,513.64
  6. Step 6: Final answer
    x = 19,542.37

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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.