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Finding the Fourth Proportional to 13,642.96, 20,464.64 and 4,878

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Solution

The fourth proportional to 13,642.96, 20,464.64 and 4,878 is: 7,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.96 : 20,464.64 = 4,878 : x
  2. Step 2: Convert to fraction form
    13,642.96/20,464.64 = 4,878/x
  3. Step 3: Cross multiply
    13,642.96x = 20,464.64 × 4,878
  4. Step 4: Simplify right side
    13,642.96x = 99,826,513.92
  5. Step 5: Solve for x
    x = 99,826,513.92/13,642.96
  6. Step 6: Final answer
    x = 7,317.07

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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.