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Finding the Fourth Proportional to 15,037.71, 20,761.46 and 9,662.32

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Solution

The fourth proportional to 15,037.71, 20,761.46 and 9,662.32 is: 13,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,037.71 : 20,761.46 = 9,662.32 : x
  2. Step 2: Convert to fraction form
    15,037.71/20,761.46 = 9,662.32/x
  3. Step 3: Cross multiply
    15,037.71x = 20,761.46 × 9,662.32
  4. Step 4: Simplify right side
    15,037.71x = 200,603,870.19
  5. Step 5: Solve for x
    x = 200,603,870.19/15,037.71
  6. Step 6: Final answer
    x = 13,340.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.