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Finding the Fourth Proportional to 24,930, 34,404.05 and 13,599.68

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Solution

The fourth proportional to 24,930, 34,404.05 and 13,599.68 is: 18,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,930 : 34,404.05 = 13,599.68 : x
  2. Step 2: Convert to fraction form
    24,930/34,404.05 = 13,599.68/x
  3. Step 3: Cross multiply
    24,930x = 34,404.05 × 13,599.68
  4. Step 4: Simplify right side
    24,930x = 467,884,088.72
  5. Step 5: Solve for x
    x = 467,884,088.72/24,930
  6. Step 6: Final answer
    x = 18,767.91

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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.