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Finding the Fourth Proportional to 25,554, 38,298.54 and 11,498.97

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Solution

The fourth proportional to 25,554, 38,298.54 and 11,498.97 is: 17,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,554 : 38,298.54 = 11,498.97 : x
  2. Step 2: Convert to fraction form
    25,554/38,298.54 = 11,498.97/x
  3. Step 3: Cross multiply
    25,554x = 38,298.54 × 11,498.97
  4. Step 4: Simplify right side
    25,554x = 440,393,762.50
  5. Step 5: Solve for x
    x = 440,393,762.50/25,554
  6. Step 6: Final answer
    x = 17,233.85

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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.