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Finding the Fourth Proportional to 23,470.16, 35,209.68 and 9,431.28

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Solution

The fourth proportional to 23,470.16, 35,209.68 and 9,431.28 is: 14,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.16 : 35,209.68 = 9,431.28 : x
  2. Step 2: Convert to fraction form
    23,470.16/35,209.68 = 9,431.28/x
  3. Step 3: Cross multiply
    23,470.16x = 35,209.68 × 9,431.28
  4. Step 4: Simplify right side
    23,470.16x = 332,072,350.79
  5. Step 5: Solve for x
    x = 332,072,350.79/23,470.16
  6. Step 6: Final answer
    x = 14,148.70

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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.