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Finding the Fourth Proportional to 23,551.63, 32,462.22 and 22,928.38

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Solution

The fourth proportional to 23,551.63, 32,462.22 and 22,928.38 is: 31,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,551.63 : 32,462.22 = 22,928.38 : x
  2. Step 2: Convert to fraction form
    23,551.63/32,462.22 = 22,928.38/x
  3. Step 3: Cross multiply
    23,551.63x = 32,462.22 × 22,928.38
  4. Step 4: Simplify right side
    23,551.63x = 744,306,115.80
  5. Step 5: Solve for x
    x = 744,306,115.80/23,551.63
  6. Step 6: Final answer
    x = 31,603.17

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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.