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Finding the Fourth Proportional to 25,463.52, 38,195.52 and 7,932

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Solution

The fourth proportional to 25,463.52, 38,195.52 and 7,932 is: 11,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,463.52 : 38,195.52 = 7,932 : x
  2. Step 2: Convert to fraction form
    25,463.52/38,195.52 = 7,932/x
  3. Step 3: Cross multiply
    25,463.52x = 38,195.52 × 7,932
  4. Step 4: Simplify right side
    25,463.52x = 302,966,864.64
  5. Step 5: Solve for x
    x = 302,966,864.64/25,463.52
  6. Step 6: Final answer
    x = 11,898.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.