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Finding the Fourth Proportional to 14,532.87, 20,049.49 and 9,145.82

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Solution

The fourth proportional to 14,532.87, 20,049.49 and 9,145.82 is: 12,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.87 : 20,049.49 = 9,145.82 : x
  2. Step 2: Convert to fraction form
    14,532.87/20,049.49 = 9,145.82/x
  3. Step 3: Cross multiply
    14,532.87x = 20,049.49 × 9,145.82
  4. Step 4: Simplify right side
    14,532.87x = 183,368,975.41
  5. Step 5: Solve for x
    x = 183,368,975.41/14,532.87
  6. Step 6: Final answer
    x = 12,617.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.