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Finding the Fourth Proportional to 23,802.32, 35,704.20 and 7,162.40

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Solution

The fourth proportional to 23,802.32, 35,704.20 and 7,162.40 is: 10,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.32 : 35,704.20 = 7,162.40 : x
  2. Step 2: Convert to fraction form
    23,802.32/35,704.20 = 7,162.40/x
  3. Step 3: Cross multiply
    23,802.32x = 35,704.20 × 7,162.40
  4. Step 4: Simplify right side
    23,802.32x = 255,727,762.08
  5. Step 5: Solve for x
    x = 255,727,762.08/23,802.32
  6. Step 6: Final answer
    x = 10,743.82

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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.