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Finding the Fourth Proportional to 23,870.22, 35,806.29 and 6,340.20

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Solution

The fourth proportional to 23,870.22, 35,806.29 and 6,340.20 is: 9,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.22 : 35,806.29 = 6,340.20 : x
  2. Step 2: Convert to fraction form
    23,870.22/35,806.29 = 6,340.20/x
  3. Step 3: Cross multiply
    23,870.22x = 35,806.29 × 6,340.20
  4. Step 4: Simplify right side
    23,870.22x = 227,019,039.86
  5. Step 5: Solve for x
    x = 227,019,039.86/23,870.22
  6. Step 6: Final answer
    x = 9,510.55

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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.