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Finding the Fourth Proportional to 16,104.59, 22,224.56 and 9,730.29

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Solution

The fourth proportional to 16,104.59, 22,224.56 and 9,730.29 is: 13,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.59 : 22,224.56 = 9,730.29 : x
  2. Step 2: Convert to fraction form
    16,104.59/22,224.56 = 9,730.29/x
  3. Step 3: Cross multiply
    16,104.59x = 22,224.56 × 9,730.29
  4. Step 4: Simplify right side
    16,104.59x = 216,251,365.27
  5. Step 5: Solve for x
    x = 216,251,365.27/16,104.59
  6. Step 6: Final answer
    x = 13,427.94

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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.