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Finding the Fourth Proportional to 16,445.66, 22,693.31 and 9,729.98

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Solution

The fourth proportional to 16,445.66, 22,693.31 and 9,729.98 is: 13,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,445.66 : 22,693.31 = 9,729.98 : x
  2. Step 2: Convert to fraction form
    16,445.66/22,693.31 = 9,729.98/x
  3. Step 3: Cross multiply
    16,445.66x = 22,693.31 × 9,729.98
  4. Step 4: Simplify right side
    16,445.66x = 220,805,290.32
  5. Step 5: Solve for x
    x = 220,805,290.32/16,445.66
  6. Step 6: Final answer
    x = 13,426.36

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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.