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Finding the Fourth Proportional to 25,549.77, 38,330.42 and 7,782.02

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Solution

The fourth proportional to 25,549.77, 38,330.42 and 7,782.02 is: 11,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,549.77 : 38,330.42 = 7,782.02 : x
  2. Step 2: Convert to fraction form
    25,549.77/38,330.42 = 7,782.02/x
  3. Step 3: Cross multiply
    25,549.77x = 38,330.42 × 7,782.02
  4. Step 4: Simplify right side
    25,549.77x = 298,287,864.49
  5. Step 5: Solve for x
    x = 298,287,864.49/25,549.77
  6. Step 6: Final answer
    x = 11,674.78

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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.