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Finding the Fourth Proportional to 25,853.16, 38,768.76 and 9,217.38

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Solution

The fourth proportional to 25,853.16, 38,768.76 and 9,217.38 is: 13,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.16 : 38,768.76 = 9,217.38 : x
  2. Step 2: Convert to fraction form
    25,853.16/38,768.76 = 9,217.38/x
  3. Step 3: Cross multiply
    25,853.16x = 38,768.76 × 9,217.38
  4. Step 4: Simplify right side
    25,853.16x = 357,346,393.05
  5. Step 5: Solve for x
    x = 357,346,393.05/25,853.16
  6. Step 6: Final answer
    x = 13,822.16

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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.