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Finding the Fourth Proportional to 16,253.92, 22,430.22 and 9,538.34

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Solution

The fourth proportional to 16,253.92, 22,430.22 and 9,538.34 is: 13,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.92 : 22,430.22 = 9,538.34 : x
  2. Step 2: Convert to fraction form
    16,253.92/22,430.22 = 9,538.34/x
  3. Step 3: Cross multiply
    16,253.92x = 22,430.22 × 9,538.34
  4. Step 4: Simplify right side
    16,253.92x = 213,947,064.63
  5. Step 5: Solve for x
    x = 213,947,064.63/16,253.92
  6. Step 6: Final answer
    x = 13,162.80

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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.