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Finding the Fourth Proportional to 22,632.70, 31,224.55 and 16,678.57

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Solution

The fourth proportional to 22,632.70, 31,224.55 and 16,678.57 is: 23,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.70 : 31,224.55 = 16,678.57 : x
  2. Step 2: Convert to fraction form
    22,632.70/31,224.55 = 16,678.57/x
  3. Step 3: Cross multiply
    22,632.70x = 31,224.55 × 16,678.57
  4. Step 4: Simplify right side
    22,632.70x = 520,780,603.38
  5. Step 5: Solve for x
    x = 520,780,603.38/22,632.70
  6. Step 6: Final answer
    x = 23,010.10

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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.