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Finding the Fourth Proportional to 12,224.20, 16,877.82 and 9,038.20

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Solution

The fourth proportional to 12,224.20, 16,877.82 and 9,038.20 is: 12,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.20 : 16,877.82 = 9,038.20 : x
  2. Step 2: Convert to fraction form
    12,224.20/16,877.82 = 9,038.20/x
  3. Step 3: Cross multiply
    12,224.20x = 16,877.82 × 9,038.20
  4. Step 4: Simplify right side
    12,224.20x = 152,545,112.72
  5. Step 5: Solve for x
    x = 152,545,112.72/12,224.20
  6. Step 6: Final answer
    x = 12,478.94

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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.