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Finding the Fourth Proportional to 12,417.96, 18,629.55 and 3,652.14

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Solution

The fourth proportional to 12,417.96, 18,629.55 and 3,652.14 is: 5,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.96 : 18,629.55 = 3,652.14 : x
  2. Step 2: Convert to fraction form
    12,417.96/18,629.55 = 3,652.14/x
  3. Step 3: Cross multiply
    12,417.96x = 18,629.55 × 3,652.14
  4. Step 4: Simplify right side
    12,417.96x = 68,037,724.74
  5. Step 5: Solve for x
    x = 68,037,724.74/12,417.96
  6. Step 6: Final answer
    x = 5,478.98

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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.