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Finding the Fourth Proportional to 23,184.82, 34,764.67 and 7,385.50

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Solution

The fourth proportional to 23,184.82, 34,764.67 and 7,385.50 is: 11,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.82 : 34,764.67 = 7,385.50 : x
  2. Step 2: Convert to fraction form
    23,184.82/34,764.67 = 7,385.50/x
  3. Step 3: Cross multiply
    23,184.82x = 34,764.67 × 7,385.50
  4. Step 4: Simplify right side
    23,184.82x = 256,754,470.29
  5. Step 5: Solve for x
    x = 256,754,470.29/23,184.82
  6. Step 6: Final answer
    x = 11,074.25

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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.