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Finding the Fourth Proportional to 24,020.40, 33,149.76 and 13,412.16

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Solution

The fourth proportional to 24,020.40, 33,149.76 and 13,412.16 is: 18,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,020.40 : 33,149.76 = 13,412.16 : x
  2. Step 2: Convert to fraction form
    24,020.40/33,149.76 = 13,412.16/x
  3. Step 3: Cross multiply
    24,020.40x = 33,149.76 × 13,412.16
  4. Step 4: Simplify right side
    24,020.40x = 444,609,885.08
  5. Step 5: Solve for x
    x = 444,609,885.08/24,020.40
  6. Step 6: Final answer
    x = 18,509.68

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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.