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Finding the Fourth Proportional to 25,803.69, 38,716.50 and 14,103.24

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Solution

The fourth proportional to 25,803.69, 38,716.50 and 14,103.24 is: 21,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.69 : 38,716.50 = 14,103.24 : x
  2. Step 2: Convert to fraction form
    25,803.69/38,716.50 = 14,103.24/x
  3. Step 3: Cross multiply
    25,803.69x = 38,716.50 × 14,103.24
  4. Step 4: Simplify right side
    25,803.69x = 546,028,091.46
  5. Step 5: Solve for x
    x = 546,028,091.46/25,803.69
  6. Step 6: Final answer
    x = 21,160.85

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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.