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Finding the Fourth Proportional to 13,455.12, 18,568.20 and 7,866.12

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Solution

The fourth proportional to 13,455.12, 18,568.20 and 7,866.12 is: 10,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.12 : 18,568.20 = 7,866.12 : x
  2. Step 2: Convert to fraction form
    13,455.12/18,568.20 = 7,866.12/x
  3. Step 3: Cross multiply
    13,455.12x = 18,568.20 × 7,866.12
  4. Step 4: Simplify right side
    13,455.12x = 146,059,689.38
  5. Step 5: Solve for x
    x = 146,059,689.38/13,455.12
  6. Step 6: Final answer
    x = 10,855.32

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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.