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Finding the Fourth Proportional to 25,588.62, 38,382.93 and 9,995.31

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Solution

The fourth proportional to 25,588.62, 38,382.93 and 9,995.31 is: 14,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,588.62 : 38,382.93 = 9,995.31 : x
  2. Step 2: Convert to fraction form
    25,588.62/38,382.93 = 9,995.31/x
  3. Step 3: Cross multiply
    25,588.62x = 38,382.93 × 9,995.31
  4. Step 4: Simplify right side
    25,588.62x = 383,649,417.50
  5. Step 5: Solve for x
    x = 383,649,417.50/25,588.62
  6. Step 6: Final answer
    x = 14,992.97

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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.