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Finding the Fourth Proportional to 14,574.47, 20,113.81 and 8,201.69

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Solution

The fourth proportional to 14,574.47, 20,113.81 and 8,201.69 is: 11,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.47 : 20,113.81 = 8,201.69 : x
  2. Step 2: Convert to fraction form
    14,574.47/20,113.81 = 8,201.69/x
  3. Step 3: Cross multiply
    14,574.47x = 20,113.81 × 8,201.69
  4. Step 4: Simplify right side
    14,574.47x = 164,967,188.69
  5. Step 5: Solve for x
    x = 164,967,188.69/14,574.47
  6. Step 6: Final answer
    x = 11,318.92

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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.