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Finding the Fourth Proportional to 16,023.12, 22,110.84 and 8,948.16

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Solution

The fourth proportional to 16,023.12, 22,110.84 and 8,948.16 is: 12,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.12 : 22,110.84 = 8,948.16 : x
  2. Step 2: Convert to fraction form
    16,023.12/22,110.84 = 8,948.16/x
  3. Step 3: Cross multiply
    16,023.12x = 22,110.84 × 8,948.16
  4. Step 4: Simplify right side
    16,023.12x = 197,851,334.05
  5. Step 5: Solve for x
    x = 197,851,334.05/16,023.12
  6. Step 6: Final answer
    x = 12,347.87

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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.