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Finding the Fourth Proportional to 23,011.12, 34,523.93 and 8,219.71

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Solution

The fourth proportional to 23,011.12, 34,523.93 and 8,219.71 is: 12,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011.12 : 34,523.93 = 8,219.71 : x
  2. Step 2: Convert to fraction form
    23,011.12/34,523.93 = 8,219.71/x
  3. Step 3: Cross multiply
    23,011.12x = 34,523.93 × 8,219.71
  4. Step 4: Simplify right side
    23,011.12x = 283,776,692.66
  5. Step 5: Solve for x
    x = 283,776,692.66/23,011.12
  6. Step 6: Final answer
    x = 12,332.15

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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.