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Finding the Fourth Proportional to 25,900.56, 38,879.64 and 13,417.24

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Solution

The fourth proportional to 25,900.56, 38,879.64 and 13,417.24 is: 20,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.56 : 38,879.64 = 13,417.24 : x
  2. Step 2: Convert to fraction form
    25,900.56/38,879.64 = 13,417.24/x
  3. Step 3: Cross multiply
    25,900.56x = 38,879.64 × 13,417.24
  4. Step 4: Simplify right side
    25,900.56x = 521,657,393.91
  5. Step 5: Solve for x
    x = 521,657,393.91/25,900.56
  6. Step 6: Final answer
    x = 20,140.78

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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.