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Finding the Fourth Proportional to 15,029.42, 22,522.56 and 8,441.74

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Solution

The fourth proportional to 15,029.42, 22,522.56 and 8,441.74 is: 12,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,029.42 : 22,522.56 = 8,441.74 : x
  2. Step 2: Convert to fraction form
    15,029.42/22,522.56 = 8,441.74/x
  3. Step 3: Cross multiply
    15,029.42x = 22,522.56 × 8,441.74
  4. Step 4: Simplify right side
    15,029.42x = 190,129,465.46
  5. Step 5: Solve for x
    x = 190,129,465.46/15,029.42
  6. Step 6: Final answer
    x = 12,650.49

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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.