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Finding the Fourth Proportional to 15,618.68, 23,411.70 and 6,846.20

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Solution

The fourth proportional to 15,618.68, 23,411.70 and 6,846.20 is: 10,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,618.68 : 23,411.70 = 6,846.20 : x
  2. Step 2: Convert to fraction form
    15,618.68/23,411.70 = 6,846.20/x
  3. Step 3: Cross multiply
    15,618.68x = 23,411.70 × 6,846.20
  4. Step 4: Simplify right side
    15,618.68x = 160,281,180.54
  5. Step 5: Solve for x
    x = 160,281,180.54/15,618.68
  6. Step 6: Final answer
    x = 10,262.15

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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.