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Finding the Fourth Proportional to 13,641, 18,823.04 and 7,672.53

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Solution

The fourth proportional to 13,641, 18,823.04 and 7,672.53 is: 10,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641 : 18,823.04 = 7,672.53 : x
  2. Step 2: Convert to fraction form
    13,641/18,823.04 = 7,672.53/x
  3. Step 3: Cross multiply
    13,641x = 18,823.04 × 7,672.53
  4. Step 4: Simplify right side
    13,641x = 144,420,339.09
  5. Step 5: Solve for x
    x = 144,420,339.09/13,641
  6. Step 6: Final answer
    x = 10,587.23

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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.