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Finding the Fourth Proportional to 13,443.84, 20,148.48 and 5,641.92

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Solution

The fourth proportional to 13,443.84, 20,148.48 and 5,641.92 is: 8,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.84 : 20,148.48 = 5,641.92 : x
  2. Step 2: Convert to fraction form
    13,443.84/20,148.48 = 5,641.92/x
  3. Step 3: Cross multiply
    13,443.84x = 20,148.48 × 5,641.92
  4. Step 4: Simplify right side
    13,443.84x = 113,676,112.28
  5. Step 5: Solve for x
    x = 113,676,112.28/13,443.84
  6. Step 6: Final answer
    x = 8,455.63

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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.