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Finding the Fourth Proportional to 12,617.28, 18,919.44 and 5,688

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Solution

The fourth proportional to 12,617.28, 18,919.44 and 5,688 is: 8,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.28 : 18,919.44 = 5,688 : x
  2. Step 2: Convert to fraction form
    12,617.28/18,919.44 = 5,688/x
  3. Step 3: Cross multiply
    12,617.28x = 18,919.44 × 5,688
  4. Step 4: Simplify right side
    12,617.28x = 107,613,774.72
  5. Step 5: Solve for x
    x = 107,613,774.72/12,617.28
  6. Step 6: Final answer
    x = 8,529.08

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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.