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Finding the Fourth Proportional to 25,358.56, 38,026.27 and 13,509.30

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Solution

The fourth proportional to 25,358.56, 38,026.27 and 13,509.30 is: 20,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,358.56 : 38,026.27 = 13,509.30 : x
  2. Step 2: Convert to fraction form
    25,358.56/38,026.27 = 13,509.30/x
  3. Step 3: Cross multiply
    25,358.56x = 38,026.27 × 13,509.30
  4. Step 4: Simplify right side
    25,358.56x = 513,708,289.31
  5. Step 5: Solve for x
    x = 513,708,289.31/25,358.56
  6. Step 6: Final answer
    x = 20,257.79

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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.