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Finding the Fourth Proportional to 25,754.84, 38,649.57 and 9,114.80

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Solution

The fourth proportional to 25,754.84, 38,649.57 and 9,114.80 is: 13,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.84 : 38,649.57 = 9,114.80 : x
  2. Step 2: Convert to fraction form
    25,754.84/38,649.57 = 9,114.80/x
  3. Step 3: Cross multiply
    25,754.84x = 38,649.57 × 9,114.80
  4. Step 4: Simplify right side
    25,754.84x = 352,283,100.64
  5. Step 5: Solve for x
    x = 352,283,100.64/25,754.84
  6. Step 6: Final answer
    x = 13,678.33

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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.