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Finding the Fourth Proportional to 24,822, 34,254.36 and 13,644.24

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Solution

The fourth proportional to 24,822, 34,254.36 and 13,644.24 is: 18,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822 : 34,254.36 = 13,644.24 : x
  2. Step 2: Convert to fraction form
    24,822/34,254.36 = 13,644.24/x
  3. Step 3: Cross multiply
    24,822x = 34,254.36 × 13,644.24
  4. Step 4: Simplify right side
    24,822x = 467,374,708.89
  5. Step 5: Solve for x
    x = 467,374,708.89/24,822
  6. Step 6: Final answer
    x = 18,829.05

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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.