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Finding the Fourth Proportional to 20,647.60, 30,971.48 and 5,856.08

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Solution

The fourth proportional to 20,647.60, 30,971.48 and 5,856.08 is: 8,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.60 : 30,971.48 = 5,856.08 : x
  2. Step 2: Convert to fraction form
    20,647.60/30,971.48 = 5,856.08/x
  3. Step 3: Cross multiply
    20,647.60x = 30,971.48 × 5,856.08
  4. Step 4: Simplify right side
    20,647.60x = 181,371,464.60
  5. Step 5: Solve for x
    x = 181,371,464.60/20,647.60
  6. Step 6: Final answer
    x = 8,784.14

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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.