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Finding the Fourth Proportional to 12,305.44, 18,430.62 and 5,721.76

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Solution

The fourth proportional to 12,305.44, 18,430.62 and 5,721.76 is: 8,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.44 : 18,430.62 = 5,721.76 : x
  2. Step 2: Convert to fraction form
    12,305.44/18,430.62 = 5,721.76/x
  3. Step 3: Cross multiply
    12,305.44x = 18,430.62 × 5,721.76
  4. Step 4: Simplify right side
    12,305.44x = 105,455,584.29
  5. Step 5: Solve for x
    x = 105,455,584.29/12,305.44
  6. Step 6: Final answer
    x = 8,569.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.