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Finding the Fourth Proportional to 13,252.32, 18,287.01 and 7,874.28

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Solution

The fourth proportional to 13,252.32, 18,287.01 and 7,874.28 is: 10,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252.32 : 18,287.01 = 7,874.28 : x
  2. Step 2: Convert to fraction form
    13,252.32/18,287.01 = 7,874.28/x
  3. Step 3: Cross multiply
    13,252.32x = 18,287.01 × 7,874.28
  4. Step 4: Simplify right side
    13,252.32x = 143,997,037.10
  5. Step 5: Solve for x
    x = 143,997,037.10/13,252.32
  6. Step 6: Final answer
    x = 10,865.80

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