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Finding the Fourth Proportional to 25,871.68, 35,694.72 and 15,264.96

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Solution

The fourth proportional to 25,871.68, 35,694.72 and 15,264.96 is: 21,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.68 : 35,694.72 = 15,264.96 : x
  2. Step 2: Convert to fraction form
    25,871.68/35,694.72 = 15,264.96/x
  3. Step 3: Cross multiply
    25,871.68x = 35,694.72 × 15,264.96
  4. Step 4: Simplify right side
    25,871.68x = 544,878,473.01
  5. Step 5: Solve for x
    x = 544,878,473.01/25,871.68
  6. Step 6: Final answer
    x = 21,060.81

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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.