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Finding the Fourth Proportional to 15,205.69, 22,802.73 and 7,306.02

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Solution

The fourth proportional to 15,205.69, 22,802.73 and 7,306.02 is: 10,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.69 : 22,802.73 = 7,306.02 : x
  2. Step 2: Convert to fraction form
    15,205.69/22,802.73 = 7,306.02/x
  3. Step 3: Cross multiply
    15,205.69x = 22,802.73 × 7,306.02
  4. Step 4: Simplify right side
    15,205.69x = 166,597,201.43
  5. Step 5: Solve for x
    x = 166,597,201.43/15,205.69
  6. Step 6: Final answer
    x = 10,956.24

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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.