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Finding the Fourth Proportional to 11,552.70, 17,318.13 and 10,525.50

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Solution

The fourth proportional to 11,552.70, 17,318.13 and 10,525.50 is: 15,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.70 : 17,318.13 = 10,525.50 : x
  2. Step 2: Convert to fraction form
    11,552.70/17,318.13 = 10,525.50/x
  3. Step 3: Cross multiply
    11,552.70x = 17,318.13 × 10,525.50
  4. Step 4: Simplify right side
    11,552.70x = 182,281,977.32
  5. Step 5: Solve for x
    x = 182,281,977.32/11,552.70
  6. Step 6: Final answer
    x = 15,778.30

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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.