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Finding the Fourth Proportional to 24,155.80, 33,333.18 and 13,543

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Solution

The fourth proportional to 24,155.80, 33,333.18 and 13,543 is: 18,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,155.80 : 33,333.18 = 13,543 : x
  2. Step 2: Convert to fraction form
    24,155.80/33,333.18 = 13,543/x
  3. Step 3: Cross multiply
    24,155.80x = 33,333.18 × 13,543
  4. Step 4: Simplify right side
    24,155.80x = 451,431,256.74
  5. Step 5: Solve for x
    x = 451,431,256.74/24,155.80
  6. Step 6: Final answer
    x = 18,688.32

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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.