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Finding the Fourth Proportional to 10,142.46, 15,221.74 and 4,596.20

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Solution

The fourth proportional to 10,142.46, 15,221.74 and 4,596.20 is: 6,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.46 : 15,221.74 = 4,596.20 : x
  2. Step 2: Convert to fraction form
    10,142.46/15,221.74 = 4,596.20/x
  3. Step 3: Cross multiply
    10,142.46x = 15,221.74 × 4,596.20
  4. Step 4: Simplify right side
    10,142.46x = 69,962,161.39
  5. Step 5: Solve for x
    x = 69,962,161.39/10,142.46
  6. Step 6: Final answer
    x = 6,897.95

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