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Finding the Fourth Proportional to 16,016.24, 22,101.18 and 9,643.16

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Solution

The fourth proportional to 16,016.24, 22,101.18 and 9,643.16 is: 13,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,016.24 : 22,101.18 = 9,643.16 : x
  2. Step 2: Convert to fraction form
    16,016.24/22,101.18 = 9,643.16/x
  3. Step 3: Cross multiply
    16,016.24x = 22,101.18 × 9,643.16
  4. Step 4: Simplify right side
    16,016.24x = 213,125,214.93
  5. Step 5: Solve for x
    x = 213,125,214.93/16,016.24
  6. Step 6: Final answer
    x = 13,306.82

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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.