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Finding the Fourth Proportional to 14,532.54, 20,049.76 and 9,499.66

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Solution

The fourth proportional to 14,532.54, 20,049.76 and 9,499.66 is: 13,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.54 : 20,049.76 = 9,499.66 : x
  2. Step 2: Convert to fraction form
    14,532.54/20,049.76 = 9,499.66/x
  3. Step 3: Cross multiply
    14,532.54x = 20,049.76 × 9,499.66
  4. Step 4: Simplify right side
    14,532.54x = 190,465,903.08
  5. Step 5: Solve for x
    x = 190,465,903.08/14,532.54
  6. Step 6: Final answer
    x = 13,106.17

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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.