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Finding the Fourth Proportional to 24,023.70, 33,149.40 and 13,411.98

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Solution

The fourth proportional to 24,023.70, 33,149.40 and 13,411.98 is: 18,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.70 : 33,149.40 = 13,411.98 : x
  2. Step 2: Convert to fraction form
    24,023.70/33,149.40 = 13,411.98/x
  3. Step 3: Cross multiply
    24,023.70x = 33,149.40 × 13,411.98
  4. Step 4: Simplify right side
    24,023.70x = 444,599,089.81
  5. Step 5: Solve for x
    x = 444,599,089.81/24,023.70
  6. Step 6: Final answer
    x = 18,506.69

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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.