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Finding the Fourth Proportional to 13,723.12, 18,930.54 and 9,737.20

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Solution

The fourth proportional to 13,723.12, 18,930.54 and 9,737.20 is: 13,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.12 : 18,930.54 = 9,737.20 : x
  2. Step 2: Convert to fraction form
    13,723.12/18,930.54 = 9,737.20/x
  3. Step 3: Cross multiply
    13,723.12x = 18,930.54 × 9,737.20
  4. Step 4: Simplify right side
    13,723.12x = 184,330,454.09
  5. Step 5: Solve for x
    x = 184,330,454.09/13,723.12
  6. Step 6: Final answer
    x = 13,432.11

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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.