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Finding the Fourth Proportional to 24,871.68, 34,320 and 14,115.84

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Solution

The fourth proportional to 24,871.68, 34,320 and 14,115.84 is: 19,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.68 : 34,320 = 14,115.84 : x
  2. Step 2: Convert to fraction form
    24,871.68/34,320 = 14,115.84/x
  3. Step 3: Cross multiply
    24,871.68x = 34,320 × 14,115.84
  4. Step 4: Simplify right side
    24,871.68x = 484,455,628.80
  5. Step 5: Solve for x
    x = 484,455,628.80/24,871.68
  6. Step 6: Final answer
    x = 19,478.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.