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Finding the Fourth Proportional to 25,907.80, 38,862.50 and 8,377.80

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Solution

The fourth proportional to 25,907.80, 38,862.50 and 8,377.80 is: 12,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,907.80 : 38,862.50 = 8,377.80 : x
  2. Step 2: Convert to fraction form
    25,907.80/38,862.50 = 8,377.80/x
  3. Step 3: Cross multiply
    25,907.80x = 38,862.50 × 8,377.80
  4. Step 4: Simplify right side
    25,907.80x = 325,582,252.50
  5. Step 5: Solve for x
    x = 325,582,252.50/25,907.80
  6. Step 6: Final answer
    x = 12,566.96

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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.