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Finding the Fourth Proportional to 22,605.38, 31,197.28 and 12,536.98

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Solution

The fourth proportional to 22,605.38, 31,197.28 and 12,536.98 is: 17,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.38 : 31,197.28 = 12,536.98 : x
  2. Step 2: Convert to fraction form
    22,605.38/31,197.28 = 12,536.98/x
  3. Step 3: Cross multiply
    22,605.38x = 31,197.28 × 12,536.98
  4. Step 4: Simplify right side
    22,605.38x = 391,119,675.41
  5. Step 5: Solve for x
    x = 391,119,675.41/22,605.38
  6. Step 6: Final answer
    x = 17,302.06

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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.