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Finding the Fourth Proportional to 15,391.22, 21,238.81 and 9,102.38

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Solution

The fourth proportional to 15,391.22, 21,238.81 and 9,102.38 is: 12,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,391.22 : 21,238.81 = 9,102.38 : x
  2. Step 2: Convert to fraction form
    15,391.22/21,238.81 = 9,102.38/x
  3. Step 3: Cross multiply
    15,391.22x = 21,238.81 × 9,102.38
  4. Step 4: Simplify right side
    15,391.22x = 193,323,590.42
  5. Step 5: Solve for x
    x = 193,323,590.42/15,391.22
  6. Step 6: Final answer
    x = 12,560.65

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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.