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Finding the Fourth Proportional to 22,933.95, 34,401.65 and 8,142.63

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Solution

The fourth proportional to 22,933.95, 34,401.65 and 8,142.63 is: 12,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.95 : 34,401.65 = 8,142.63 : x
  2. Step 2: Convert to fraction form
    22,933.95/34,401.65 = 8,142.63/x
  3. Step 3: Cross multiply
    22,933.95x = 34,401.65 × 8,142.63
  4. Step 4: Simplify right side
    22,933.95x = 280,119,866.63
  5. Step 5: Solve for x
    x = 280,119,866.63/22,933.95
  6. Step 6: Final answer
    x = 12,214.20

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1.5x scale

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.