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Finding the Fourth Proportional to 25,649.40, 38,470.26 and 8,116.98

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Solution

The fourth proportional to 25,649.40, 38,470.26 and 8,116.98 is: 12,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.40 : 38,470.26 = 8,116.98 : x
  2. Step 2: Convert to fraction form
    25,649.40/38,470.26 = 8,116.98/x
  3. Step 3: Cross multiply
    25,649.40x = 38,470.26 × 8,116.98
  4. Step 4: Simplify right side
    25,649.40x = 312,262,331.01
  5. Step 5: Solve for x
    x = 312,262,331.01/25,649.40
  6. Step 6: Final answer
    x = 12,174.25

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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.