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Finding the Fourth Proportional to 25,257.64, 37,864.86 and 9,686.44

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Solution

The fourth proportional to 25,257.64, 37,864.86 and 9,686.44 is: 14,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257.64 : 37,864.86 = 9,686.44 : x
  2. Step 2: Convert to fraction form
    25,257.64/37,864.86 = 9,686.44/x
  3. Step 3: Cross multiply
    25,257.64x = 37,864.86 × 9,686.44
  4. Step 4: Simplify right side
    25,257.64x = 366,775,694.50
  5. Step 5: Solve for x
    x = 366,775,694.50/25,257.64
  6. Step 6: Final answer
    x = 14,521.38

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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.