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Finding the Fourth Proportional to 16,074, 22,176.12 and 10,021.52

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Solution

The fourth proportional to 16,074, 22,176.12 and 10,021.52 is: 13,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074 : 22,176.12 = 10,021.52 : x
  2. Step 2: Convert to fraction form
    16,074/22,176.12 = 10,021.52/x
  3. Step 3: Cross multiply
    16,074x = 22,176.12 × 10,021.52
  4. Step 4: Simplify right side
    16,074x = 222,238,430.10
  5. Step 5: Solve for x
    x = 222,238,430.10/16,074
  6. Step 6: Final answer
    x = 13,825.96

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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.