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Finding the Fourth Proportional to 13,406.52, 20,113.16 and 7,864.50

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Solution

The fourth proportional to 13,406.52, 20,113.16 and 7,864.50 is: 11,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.52 : 20,113.16 = 7,864.50 : x
  2. Step 2: Convert to fraction form
    13,406.52/20,113.16 = 7,864.50/x
  3. Step 3: Cross multiply
    13,406.52x = 20,113.16 × 7,864.50
  4. Step 4: Simplify right side
    13,406.52x = 158,179,907.50
  5. Step 5: Solve for x
    x = 158,179,907.50/13,406.52
  6. Step 6: Final answer
    x = 11,798.73

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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.