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Finding the Fourth Proportional to 25,438.96, 38,148.85 and 10,648.90

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Solution

The fourth proportional to 25,438.96, 38,148.85 and 10,648.90 is: 15,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438.96 : 38,148.85 = 10,648.90 : x
  2. Step 2: Convert to fraction form
    25,438.96/38,148.85 = 10,648.90/x
  3. Step 3: Cross multiply
    25,438.96x = 38,148.85 × 10,648.90
  4. Step 4: Simplify right side
    25,438.96x = 406,243,288.77
  5. Step 5: Solve for x
    x = 406,243,288.77/25,438.96
  6. Step 6: Final answer
    x = 15,969.34

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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.