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Finding the Fourth Proportional to 23,470.90, 35,206.50 and 5,940.78

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Solution

The fourth proportional to 23,470.90, 35,206.50 and 5,940.78 is: 8,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.90 : 35,206.50 = 5,940.78 : x
  2. Step 2: Convert to fraction form
    23,470.90/35,206.50 = 5,940.78/x
  3. Step 3: Cross multiply
    23,470.90x = 35,206.50 × 5,940.78
  4. Step 4: Simplify right side
    23,470.90x = 209,153,927.91
  5. Step 5: Solve for x
    x = 209,153,927.91/23,470.90
  6. Step 6: Final answer
    x = 8,911.20

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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.