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Finding the Fourth Proportional to 25,549.80, 38,326.32 and 8,020.32

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Solution

The fourth proportional to 25,549.80, 38,326.32 and 8,020.32 is: 12,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,549.80 : 38,326.32 = 8,020.32 : x
  2. Step 2: Convert to fraction form
    25,549.80/38,326.32 = 8,020.32/x
  3. Step 3: Cross multiply
    25,549.80x = 38,326.32 × 8,020.32
  4. Step 4: Simplify right side
    25,549.80x = 307,389,350.82
  5. Step 5: Solve for x
    x = 307,389,350.82/25,549.80
  6. Step 6: Final answer
    x = 12,030.99

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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.