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Finding the Fourth Proportional to 16,214.76, 24,322.14 and 3,902.76

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Solution

The fourth proportional to 16,214.76, 24,322.14 and 3,902.76 is: 5,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.76 : 24,322.14 = 3,902.76 : x
  2. Step 2: Convert to fraction form
    16,214.76/24,322.14 = 3,902.76/x
  3. Step 3: Cross multiply
    16,214.76x = 24,322.14 × 3,902.76
  4. Step 4: Simplify right side
    16,214.76x = 94,923,475.11
  5. Step 5: Solve for x
    x = 94,923,475.11/16,214.76
  6. Step 6: Final answer
    x = 5,854.14

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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.