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Finding the Fourth Proportional to 23,818.32, 35,729.20 and 6,288

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Solution

The fourth proportional to 23,818.32, 35,729.20 and 6,288 is: 9,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.32 : 35,729.20 = 6,288 : x
  2. Step 2: Convert to fraction form
    23,818.32/35,729.20 = 6,288/x
  3. Step 3: Cross multiply
    23,818.32x = 35,729.20 × 6,288
  4. Step 4: Simplify right side
    23,818.32x = 224,665,209.60
  5. Step 5: Solve for x
    x = 224,665,209.60/23,818.32
  6. Step 6: Final answer
    x = 9,432.45

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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.