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Finding the Fourth Proportional to 25,462.40, 38,193.62 and 7,932.23

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Solution

The fourth proportional to 25,462.40, 38,193.62 and 7,932.23 is: 11,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,462.40 : 38,193.62 = 7,932.23 : x
  2. Step 2: Convert to fraction form
    25,462.40/38,193.62 = 7,932.23/x
  3. Step 3: Cross multiply
    25,462.40x = 38,193.62 × 7,932.23
  4. Step 4: Simplify right side
    25,462.40x = 302,960,347.74
  5. Step 5: Solve for x
    x = 302,960,347.74/25,462.40
  6. Step 6: Final answer
    x = 11,898.34

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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.