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Finding the Fourth Proportional to 13,643.40, 20,460.98 and 8,963.22

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Solution

The fourth proportional to 13,643.40, 20,460.98 and 8,963.22 is: 13,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.40 : 20,460.98 = 8,963.22 : x
  2. Step 2: Convert to fraction form
    13,643.40/20,460.98 = 8,963.22/x
  3. Step 3: Cross multiply
    13,643.40x = 20,460.98 × 8,963.22
  4. Step 4: Simplify right side
    13,643.40x = 183,396,220.34
  5. Step 5: Solve for x
    x = 183,396,220.34/13,643.40
  6. Step 6: Final answer
    x = 13,442.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.