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Finding the Fourth Proportional to 22,606.16, 31,196.03 and 12,534.41

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Solution

The fourth proportional to 22,606.16, 31,196.03 and 12,534.41 is: 17,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.16 : 31,196.03 = 12,534.41 : x
  2. Step 2: Convert to fraction form
    22,606.16/31,196.03 = 12,534.41/x
  3. Step 3: Cross multiply
    22,606.16x = 31,196.03 × 12,534.41
  4. Step 4: Simplify right side
    22,606.16x = 391,023,845.71
  5. Step 5: Solve for x
    x = 391,023,845.71/22,606.16
  6. Step 6: Final answer
    x = 17,297.23

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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.