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Finding the Fourth Proportional to 23,033.40, 31,785.96 and 13,097.40

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Solution

The fourth proportional to 23,033.40, 31,785.96 and 13,097.40 is: 18,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033.40 : 31,785.96 = 13,097.40 : x
  2. Step 2: Convert to fraction form
    23,033.40/31,785.96 = 13,097.40/x
  3. Step 3: Cross multiply
    23,033.40x = 31,785.96 × 13,097.40
  4. Step 4: Simplify right side
    23,033.40x = 416,313,432.50
  5. Step 5: Solve for x
    x = 416,313,432.50/23,033.40
  6. Step 6: Final answer
    x = 18,074.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.