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Finding the Fourth Proportional to 18,722.25, 28,104.98 and 9,507.69

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Solution

The fourth proportional to 18,722.25, 28,104.98 and 9,507.69 is: 14,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,722.25 : 28,104.98 = 9,507.69 : x
  2. Step 2: Convert to fraction form
    18,722.25/28,104.98 = 9,507.69/x
  3. Step 3: Cross multiply
    18,722.25x = 28,104.98 × 9,507.69
  4. Step 4: Simplify right side
    18,722.25x = 267,213,389.76
  5. Step 5: Solve for x
    x = 267,213,389.76/18,722.25
  6. Step 6: Final answer
    x = 14,272.50

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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.