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Finding the Fourth Proportional to 25,971.84, 38,953.92 and 9,552

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Solution

The fourth proportional to 25,971.84, 38,953.92 and 9,552 is: 14,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.84 : 38,953.92 = 9,552 : x
  2. Step 2: Convert to fraction form
    25,971.84/38,953.92 = 9,552/x
  3. Step 3: Cross multiply
    25,971.84x = 38,953.92 × 9,552
  4. Step 4: Simplify right side
    25,971.84x = 372,087,843.84
  5. Step 5: Solve for x
    x = 372,087,843.84/25,971.84
  6. Step 6: Final answer
    x = 14,326.59

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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.