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Finding the Fourth Proportional to 22,567.49, 31,142.74 and 12,495.90

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Solution

The fourth proportional to 22,567.49, 31,142.74 and 12,495.90 is: 17,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.49 : 31,142.74 = 12,495.90 : x
  2. Step 2: Convert to fraction form
    22,567.49/31,142.74 = 12,495.90/x
  3. Step 3: Cross multiply
    22,567.49x = 31,142.74 × 12,495.90
  4. Step 4: Simplify right side
    22,567.49x = 389,156,638.60
  5. Step 5: Solve for x
    x = 389,156,638.60/22,567.49
  6. Step 6: Final answer
    x = 17,244.12

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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.