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Finding the Fourth Proportional to 15,238.42, 22,859.43 and 6,468.46

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Solution

The fourth proportional to 15,238.42, 22,859.43 and 6,468.46 is: 9,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.42 : 22,859.43 = 6,468.46 : x
  2. Step 2: Convert to fraction form
    15,238.42/22,859.43 = 6,468.46/x
  3. Step 3: Cross multiply
    15,238.42x = 22,859.43 × 6,468.46
  4. Step 4: Simplify right side
    15,238.42x = 147,865,308.58
  5. Step 5: Solve for x
    x = 147,865,308.58/15,238.42
  6. Step 6: Final answer
    x = 9,703.45

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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.