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Finding the Fourth Proportional to 23,470.93, 35,214.27 and 7,676.70

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Solution

The fourth proportional to 23,470.93, 35,214.27 and 7,676.70 is: 11,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.93 : 35,214.27 = 7,676.70 : x
  2. Step 2: Convert to fraction form
    23,470.93/35,214.27 = 7,676.70/x
  3. Step 3: Cross multiply
    23,470.93x = 35,214.27 × 7,676.70
  4. Step 4: Simplify right side
    23,470.93x = 270,329,386.51
  5. Step 5: Solve for x
    x = 270,329,386.51/23,470.93
  6. Step 6: Final answer
    x = 11,517.63

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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.