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Finding the Fourth Proportional to 22,605.98, 31,196.48 and 12,534.57

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Solution

The fourth proportional to 22,605.98, 31,196.48 and 12,534.57 is: 17,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.98 : 31,196.48 = 12,534.57 : x
  2. Step 2: Convert to fraction form
    22,605.98/31,196.48 = 12,534.57/x
  3. Step 3: Cross multiply
    22,605.98x = 31,196.48 × 12,534.57
  4. Step 4: Simplify right side
    22,605.98x = 391,034,399.64
  5. Step 5: Solve for x
    x = 391,034,399.64/22,605.98
  6. Step 6: Final answer
    x = 17,297.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.