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Finding the Fourth Proportional to 12,305.33, 18,454.59 and 5,285.06

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Solution

The fourth proportional to 12,305.33, 18,454.59 and 5,285.06 is: 7,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.33 : 18,454.59 = 5,285.06 : x
  2. Step 2: Convert to fraction form
    12,305.33/18,454.59 = 5,285.06/x
  3. Step 3: Cross multiply
    12,305.33x = 18,454.59 × 5,285.06
  4. Step 4: Simplify right side
    12,305.33x = 97,533,523.15
  5. Step 5: Solve for x
    x = 97,533,523.15/12,305.33
  6. Step 6: Final answer
    x = 7,926.12

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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.