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Finding the Fourth Proportional to 22,658.52, 31,271.70 and 14,163.38

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Solution

The fourth proportional to 22,658.52, 31,271.70 and 14,163.38 is: 19,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.52 : 31,271.70 = 14,163.38 : x
  2. Step 2: Convert to fraction form
    22,658.52/31,271.70 = 14,163.38/x
  3. Step 3: Cross multiply
    22,658.52x = 31,271.70 × 14,163.38
  4. Step 4: Simplify right side
    22,658.52x = 442,912,970.35
  5. Step 5: Solve for x
    x = 442,912,970.35/22,658.52
  6. Step 6: Final answer
    x = 19,547.30

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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.