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Finding the Fourth Proportional to 24,768, 34,180.44 and 13,590

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Solution

The fourth proportional to 24,768, 34,180.44 and 13,590 is: 18,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768 : 34,180.44 = 13,590 : x
  2. Step 2: Convert to fraction form
    24,768/34,180.44 = 13,590/x
  3. Step 3: Cross multiply
    24,768x = 34,180.44 × 13,590
  4. Step 4: Simplify right side
    24,768x = 464,512,179.60
  5. Step 5: Solve for x
    x = 464,512,179.60/24,768
  6. Step 6: Final answer
    x = 18,754.53

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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.