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Finding the Fourth Proportional to 25,743.93, 38,616.98 and 9,104.10

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Solution

The fourth proportional to 25,743.93, 38,616.98 and 9,104.10 is: 13,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,743.93 : 38,616.98 = 9,104.10 : x
  2. Step 2: Convert to fraction form
    25,743.93/38,616.98 = 9,104.10/x
  3. Step 3: Cross multiply
    25,743.93x = 38,616.98 × 9,104.10
  4. Step 4: Simplify right side
    25,743.93x = 351,572,847.62
  5. Step 5: Solve for x
    x = 351,572,847.62/25,743.93
  6. Step 6: Final answer
    x = 13,656.53

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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.