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Finding the Fourth Proportional to 25,549.32, 38,329.76 and 7,781.58

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Solution

The fourth proportional to 25,549.32, 38,329.76 and 7,781.58 is: 11,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,549.32 : 38,329.76 = 7,781.58 : x
  2. Step 2: Convert to fraction form
    25,549.32/38,329.76 = 7,781.58/x
  3. Step 3: Cross multiply
    25,549.32x = 38,329.76 × 7,781.58
  4. Step 4: Simplify right side
    25,549.32x = 298,266,093.82
  5. Step 5: Solve for x
    x = 298,266,093.82/25,549.32
  6. Step 6: Final answer
    x = 11,674.13

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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.