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Finding the Fourth Proportional to 13,643.10, 18,821.12 and 8,862.72

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Solution

The fourth proportional to 13,643.10, 18,821.12 and 8,862.72 is: 12,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.10 : 18,821.12 = 8,862.72 : x
  2. Step 2: Convert to fraction form
    13,643.10/18,821.12 = 8,862.72/x
  3. Step 3: Cross multiply
    13,643.10x = 18,821.12 × 8,862.72
  4. Step 4: Simplify right side
    13,643.10x = 166,806,316.65
  5. Step 5: Solve for x
    x = 166,806,316.65/13,643.10
  6. Step 6: Final answer
    x = 12,226.42

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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.