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Finding the Fourth Proportional to 23,805.20, 35,707.80 and 6,276.80

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Solution

The fourth proportional to 23,805.20, 35,707.80 and 6,276.80 is: 9,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.20 : 35,707.80 = 6,276.80 : x
  2. Step 2: Convert to fraction form
    23,805.20/35,707.80 = 6,276.80/x
  3. Step 3: Cross multiply
    23,805.20x = 35,707.80 × 6,276.80
  4. Step 4: Simplify right side
    23,805.20x = 224,130,719.04
  5. Step 5: Solve for x
    x = 224,130,719.04/23,805.20
  6. Step 6: Final answer
    x = 9,415.20

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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.