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Finding the Fourth Proportional to 24,333.57, 33,580.32 and 13,155.57

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Solution

The fourth proportional to 24,333.57, 33,580.32 and 13,155.57 is: 18,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.57 : 33,580.32 = 13,155.57 : x
  2. Step 2: Convert to fraction form
    24,333.57/33,580.32 = 13,155.57/x
  3. Step 3: Cross multiply
    24,333.57x = 33,580.32 × 13,155.57
  4. Step 4: Simplify right side
    24,333.57x = 441,768,250.38
  5. Step 5: Solve for x
    x = 441,768,250.38/24,333.57
  6. Step 6: Final answer
    x = 18,154.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.