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Finding the Fourth Proportional to 13,225.59, 18,251.29 and 7,257.27

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Solution

The fourth proportional to 13,225.59, 18,251.29 and 7,257.27 is: 10,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.59 : 18,251.29 = 7,257.27 : x
  2. Step 2: Convert to fraction form
    13,225.59/18,251.29 = 7,257.27/x
  3. Step 3: Cross multiply
    13,225.59x = 18,251.29 × 7,257.27
  4. Step 4: Simplify right side
    13,225.59x = 132,454,539.38
  5. Step 5: Solve for x
    x = 132,454,539.38/13,225.59
  6. Step 6: Final answer
    x = 10,015.02

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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.