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Finding the Fourth Proportional to 16,538.11, 22,821.93 and 8,984.28

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Solution

The fourth proportional to 16,538.11, 22,821.93 and 8,984.28 is: 12,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.11 : 22,821.93 = 8,984.28 : x
  2. Step 2: Convert to fraction form
    16,538.11/22,821.93 = 8,984.28/x
  3. Step 3: Cross multiply
    16,538.11x = 22,821.93 × 8,984.28
  4. Step 4: Simplify right side
    16,538.11x = 205,038,609.26
  5. Step 5: Solve for x
    x = 205,038,609.26/16,538.11
  6. Step 6: Final answer
    x = 12,397.95

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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.