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Finding the Fourth Proportional to 23,472.32, 35,211.90 and 6,830.18

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Solution

The fourth proportional to 23,472.32, 35,211.90 and 6,830.18 is: 10,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.32 : 35,211.90 = 6,830.18 : x
  2. Step 2: Convert to fraction form
    23,472.32/35,211.90 = 6,830.18/x
  3. Step 3: Cross multiply
    23,472.32x = 35,211.90 × 6,830.18
  4. Step 4: Simplify right side
    23,472.32x = 240,503,615.14
  5. Step 5: Solve for x
    x = 240,503,615.14/23,472.32
  6. Step 6: Final answer
    x = 10,246.27

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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.