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Finding the Fourth Proportional to 24,412.85, 33,693.32 and 15,461.18

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Solution

The fourth proportional to 24,412.85, 33,693.32 and 15,461.18 is: 21,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412.85 : 33,693.32 = 15,461.18 : x
  2. Step 2: Convert to fraction form
    24,412.85/33,693.32 = 15,461.18/x
  3. Step 3: Cross multiply
    24,412.85x = 33,693.32 × 15,461.18
  4. Step 4: Simplify right side
    24,412.85x = 520,938,239.55
  5. Step 5: Solve for x
    x = 520,938,239.55/24,412.85
  6. Step 6: Final answer
    x = 21,338.69

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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.