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Finding the Fourth Proportional to 25,971.52, 38,974.52 and 9,555.52

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Solution

The fourth proportional to 25,971.52, 38,974.52 and 9,555.52 is: 14,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.52 : 38,974.52 = 9,555.52 : x
  2. Step 2: Convert to fraction form
    25,971.52/38,974.52 = 9,555.52/x
  3. Step 3: Cross multiply
    25,971.52x = 38,974.52 × 9,555.52
  4. Step 4: Simplify right side
    25,971.52x = 372,421,805.35
  5. Step 5: Solve for x
    x = 372,421,805.35/25,971.52
  6. Step 6: Final answer
    x = 14,339.62

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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.