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Finding the Fourth Proportional to 16,422.66, 22,657.56 and 9,964.34

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Solution

The fourth proportional to 16,422.66, 22,657.56 and 9,964.34 is: 13,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.66 : 22,657.56 = 9,964.34 : x
  2. Step 2: Convert to fraction form
    16,422.66/22,657.56 = 9,964.34/x
  3. Step 3: Cross multiply
    16,422.66x = 22,657.56 × 9,964.34
  4. Step 4: Simplify right side
    16,422.66x = 225,767,631.41
  5. Step 5: Solve for x
    x = 225,767,631.41/16,422.66
  6. Step 6: Final answer
    x = 13,747.32

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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.