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Finding the Fourth Proportional to 25,646.13, 38,474.18 and 9,850

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Solution

The fourth proportional to 25,646.13, 38,474.18 and 9,850 is: 14,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.13 : 38,474.18 = 9,850 : x
  2. Step 2: Convert to fraction form
    25,646.13/38,474.18 = 9,850/x
  3. Step 3: Cross multiply
    25,646.13x = 38,474.18 × 9,850
  4. Step 4: Simplify right side
    25,646.13x = 378,970,623.75
  5. Step 5: Solve for x
    x = 378,970,623.75/25,646.13
  6. Step 6: Final answer
    x = 14,776.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.