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Finding the Fourth Proportional to 23,661.30, 35,489.55 and 8,078.70

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Solution

The fourth proportional to 23,661.30, 35,489.55 and 8,078.70 is: 12,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,661.30 : 35,489.55 = 8,078.70 : x
  2. Step 2: Convert to fraction form
    23,661.30/35,489.55 = 8,078.70/x
  3. Step 3: Cross multiply
    23,661.30x = 35,489.55 × 8,078.70
  4. Step 4: Simplify right side
    23,661.30x = 286,709,427.59
  5. Step 5: Solve for x
    x = 286,709,427.59/23,661.30
  6. Step 6: Final answer
    x = 12,117.23

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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.