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Finding the Fourth Proportional to 15,282.92, 22,928 and 5,923.16

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Solution

The fourth proportional to 15,282.92, 22,928 and 5,923.16 is: 8,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,282.92 : 22,928 = 5,923.16 : x
  2. Step 2: Convert to fraction form
    15,282.92/22,928 = 5,923.16/x
  3. Step 3: Cross multiply
    15,282.92x = 22,928 × 5,923.16
  4. Step 4: Simplify right side
    15,282.92x = 135,806,212.48
  5. Step 5: Solve for x
    x = 135,806,212.48/15,282.92
  6. Step 6: Final answer
    x = 8,886.14

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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.