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Finding the Fourth Proportional to 22,606.82, 31,196.14 and 12,534.66

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Solution

The fourth proportional to 22,606.82, 31,196.14 and 12,534.66 is: 17,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.82 : 31,196.14 = 12,534.66 : x
  2. Step 2: Convert to fraction form
    22,606.82/31,196.14 = 12,534.66/x
  3. Step 3: Cross multiply
    22,606.82x = 31,196.14 × 12,534.66
  4. Step 4: Simplify right side
    22,606.82x = 391,033,008.21
  5. Step 5: Solve for x
    x = 391,033,008.21/22,606.82
  6. Step 6: Final answer
    x = 17,297.13

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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.