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Finding the Fourth Proportional to 16,116.26, 22,235.04 and 9,744.80

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Solution

The fourth proportional to 16,116.26, 22,235.04 and 9,744.80 is: 13,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.26 : 22,235.04 = 9,744.80 : x
  2. Step 2: Convert to fraction form
    16,116.26/22,235.04 = 9,744.80/x
  3. Step 3: Cross multiply
    16,116.26x = 22,235.04 × 9,744.80
  4. Step 4: Simplify right side
    16,116.26x = 216,676,017.79
  5. Step 5: Solve for x
    x = 216,676,017.79/16,116.26
  6. Step 6: Final answer
    x = 13,444.56

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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.