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Finding the Fourth Proportional to 23,382.55, 35,073.97 and 7,800.13

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Solution

The fourth proportional to 23,382.55, 35,073.97 and 7,800.13 is: 11,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.55 : 35,073.97 = 7,800.13 : x
  2. Step 2: Convert to fraction form
    23,382.55/35,073.97 = 7,800.13/x
  3. Step 3: Cross multiply
    23,382.55x = 35,073.97 × 7,800.13
  4. Step 4: Simplify right side
    23,382.55x = 273,581,486.62
  5. Step 5: Solve for x
    x = 273,581,486.62/23,382.55
  6. Step 6: Final answer
    x = 11,700.24

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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.