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Finding the Fourth Proportional to 16,016.98, 22,102.32 and 9,642.34

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Solution

The fourth proportional to 16,016.98, 22,102.32 and 9,642.34 is: 13,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,016.98 : 22,102.32 = 9,642.34 : x
  2. Step 2: Convert to fraction form
    16,016.98/22,102.32 = 9,642.34/x
  3. Step 3: Cross multiply
    16,016.98x = 22,102.32 × 9,642.34
  4. Step 4: Simplify right side
    16,016.98x = 213,118,084.23
  5. Step 5: Solve for x
    x = 213,118,084.23/16,016.98
  6. Step 6: Final answer
    x = 13,305.76

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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.