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Finding the Fourth Proportional to 16,098.40, 22,214.57 and 9,023.48

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Solution

The fourth proportional to 16,098.40, 22,214.57 and 9,023.48 is: 12,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.40 : 22,214.57 = 9,023.48 : x
  2. Step 2: Convert to fraction form
    16,098.40/22,214.57 = 9,023.48/x
  3. Step 3: Cross multiply
    16,098.40x = 22,214.57 × 9,023.48
  4. Step 4: Simplify right side
    16,098.40x = 200,452,728.10
  5. Step 5: Solve for x
    x = 200,452,728.10/16,098.40
  6. Step 6: Final answer
    x = 12,451.72

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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.