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Finding the Fourth Proportional to 25,797.42, 38,697.93 and 10,215

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Solution

The fourth proportional to 25,797.42, 38,697.93 and 10,215 is: 15,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.42 : 38,697.93 = 10,215 : x
  2. Step 2: Convert to fraction form
    25,797.42/38,697.93 = 10,215/x
  3. Step 3: Cross multiply
    25,797.42x = 38,697.93 × 10,215
  4. Step 4: Simplify right side
    25,797.42x = 395,299,354.95
  5. Step 5: Solve for x
    x = 395,299,354.95/25,797.42
  6. Step 6: Final answer
    x = 15,323.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.