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Finding the Fourth Proportional to 19,454.12, 29,181.87 and 6,306.61

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Solution

The fourth proportional to 19,454.12, 29,181.87 and 6,306.61 is: 9,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454.12 : 29,181.87 = 6,306.61 : x
  2. Step 2: Convert to fraction form
    19,454.12/29,181.87 = 6,306.61/x
  3. Step 3: Cross multiply
    19,454.12x = 29,181.87 × 6,306.61
  4. Step 4: Simplify right side
    19,454.12x = 184,038,654.92
  5. Step 5: Solve for x
    x = 184,038,654.92/19,454.12
  6. Step 6: Final answer
    x = 9,460.14

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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.