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Finding the Fourth Proportional to 16,422.82, 22,663.51 and 9,349.24

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Solution

The fourth proportional to 16,422.82, 22,663.51 and 9,349.24 is: 12,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.82 : 22,663.51 = 9,349.24 : x
  2. Step 2: Convert to fraction form
    16,422.82/22,663.51 = 9,349.24/x
  3. Step 3: Cross multiply
    16,422.82x = 22,663.51 × 9,349.24
  4. Step 4: Simplify right side
    16,422.82x = 211,886,594.23
  5. Step 5: Solve for x
    x = 211,886,594.23/16,422.82
  6. Step 6: Final answer
    x = 12,901.96

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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.