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Finding the Fourth Proportional to 15,607.68, 23,395.20 and 6,835.20

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Solution

The fourth proportional to 15,607.68, 23,395.20 and 6,835.20 is: 10,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,607.68 : 23,395.20 = 6,835.20 : x
  2. Step 2: Convert to fraction form
    15,607.68/23,395.20 = 6,835.20/x
  3. Step 3: Cross multiply
    15,607.68x = 23,395.20 × 6,835.20
  4. Step 4: Simplify right side
    15,607.68x = 159,910,871.04
  5. Step 5: Solve for x
    x = 159,910,871.04/15,607.68
  6. Step 6: Final answer
    x = 10,245.65

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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.