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Finding the Fourth Proportional to 23,805.20, 35,707.62 and 7,165.16

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Solution

The fourth proportional to 23,805.20, 35,707.62 and 7,165.16 is: 10,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.20 : 35,707.62 = 7,165.16 : x
  2. Step 2: Convert to fraction form
    23,805.20/35,707.62 = 7,165.16/x
  3. Step 3: Cross multiply
    23,805.20x = 35,707.62 × 7,165.16
  4. Step 4: Simplify right side
    23,805.20x = 255,850,810.52
  5. Step 5: Solve for x
    x = 255,850,810.52/23,805.20
  6. Step 6: Final answer
    x = 10,747.69

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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.