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Finding the Fourth Proportional to 22,877.24, 31,567.93 and 12,806.24

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Solution

The fourth proportional to 22,877.24, 31,567.93 and 12,806.24 is: 17,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.24 : 31,567.93 = 12,806.24 : x
  2. Step 2: Convert to fraction form
    22,877.24/31,567.93 = 12,806.24/x
  3. Step 3: Cross multiply
    22,877.24x = 31,567.93 × 12,806.24
  4. Step 4: Simplify right side
    22,877.24x = 404,266,298.03
  5. Step 5: Solve for x
    x = 404,266,298.03/22,877.24
  6. Step 6: Final answer
    x = 17,671.12

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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.