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Finding the Fourth Proportional to 25,763.76, 38,649.96 and 9,123.12

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Solution

The fourth proportional to 25,763.76, 38,649.96 and 9,123.12 is: 13,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763.76 : 38,649.96 = 9,123.12 : x
  2. Step 2: Convert to fraction form
    25,763.76/38,649.96 = 9,123.12/x
  3. Step 3: Cross multiply
    25,763.76x = 38,649.96 × 9,123.12
  4. Step 4: Simplify right side
    25,763.76x = 352,608,223.08
  5. Step 5: Solve for x
    x = 352,608,223.08/25,763.76
  6. Step 6: Final answer
    x = 13,686.21

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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.