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Finding the Fourth Proportional to 13,638.95, 18,822.68 and 7,671.17

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Solution

The fourth proportional to 13,638.95, 18,822.68 and 7,671.17 is: 10,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.95 : 18,822.68 = 7,671.17 : x
  2. Step 2: Convert to fraction form
    13,638.95/18,822.68 = 7,671.17/x
  3. Step 3: Cross multiply
    13,638.95x = 18,822.68 × 7,671.17
  4. Step 4: Simplify right side
    13,638.95x = 144,391,845.67
  5. Step 5: Solve for x
    x = 144,391,845.67/13,638.95
  6. Step 6: Final answer
    x = 10,586.73

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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.