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Finding the Fourth Proportional to 15,282.19, 22,923.33 and 4,189

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Solution

The fourth proportional to 15,282.19, 22,923.33 and 4,189 is: 6,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,282.19 : 22,923.33 = 4,189 : x
  2. Step 2: Convert to fraction form
    15,282.19/22,923.33 = 4,189/x
  3. Step 3: Cross multiply
    15,282.19x = 22,923.33 × 4,189
  4. Step 4: Simplify right side
    15,282.19x = 96,025,829.37
  5. Step 5: Solve for x
    x = 96,025,829.37/15,282.19
  6. Step 6: Final answer
    x = 6,283.51

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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.