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Finding the Fourth Proportional to 24,871.84, 34,310.04 and 15,424

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Solution

The fourth proportional to 24,871.84, 34,310.04 and 15,424 is: 21,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.84 : 34,310.04 = 15,424 : x
  2. Step 2: Convert to fraction form
    24,871.84/34,310.04 = 15,424/x
  3. Step 3: Cross multiply
    24,871.84x = 34,310.04 × 15,424
  4. Step 4: Simplify right side
    24,871.84x = 529,198,056.96
  5. Step 5: Solve for x
    x = 529,198,056.96/24,871.84
  6. Step 6: Final answer
    x = 21,277.00

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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.