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Finding the Fourth Proportional to 23,568.30, 35,350.02 and 7,985.52

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Solution

The fourth proportional to 23,568.30, 35,350.02 and 7,985.52 is: 11,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.30 : 35,350.02 = 7,985.52 : x
  2. Step 2: Convert to fraction form
    23,568.30/35,350.02 = 7,985.52/x
  3. Step 3: Cross multiply
    23,568.30x = 35,350.02 × 7,985.52
  4. Step 4: Simplify right side
    23,568.30x = 282,288,291.71
  5. Step 5: Solve for x
    x = 282,288,291.71/23,568.30
  6. Step 6: Final answer
    x = 11,977.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.