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Finding the Fourth Proportional to 24,998, 34,497.96 and 13,820.72

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Solution

The fourth proportional to 24,998, 34,497.96 and 13,820.72 is: 19,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,998 : 34,497.96 = 13,820.72 : x
  2. Step 2: Convert to fraction form
    24,998/34,497.96 = 13,820.72/x
  3. Step 3: Cross multiply
    24,998x = 34,497.96 × 13,820.72
  4. Step 4: Simplify right side
    24,998x = 476,786,645.73
  5. Step 5: Solve for x
    x = 476,786,645.73/24,998
  6. Step 6: Final answer
    x = 19,072.99

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1.5x scale

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.