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Finding the Fourth Proportional to 25,807.80, 38,711.70 and 8,290.20

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Solution

The fourth proportional to 25,807.80, 38,711.70 and 8,290.20 is: 12,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.80 : 38,711.70 = 8,290.20 : x
  2. Step 2: Convert to fraction form
    25,807.80/38,711.70 = 8,290.20/x
  3. Step 3: Cross multiply
    25,807.80x = 38,711.70 × 8,290.20
  4. Step 4: Simplify right side
    25,807.80x = 320,927,735.34
  5. Step 5: Solve for x
    x = 320,927,735.34/25,807.80
  6. Step 6: Final answer
    x = 12,435.30

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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.