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Finding the Fourth Proportional to 12,417.64, 18,629.16 and 4,099.48

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Solution

The fourth proportional to 12,417.64, 18,629.16 and 4,099.48 is: 6,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.64 : 18,629.16 = 4,099.48 : x
  2. Step 2: Convert to fraction form
    12,417.64/18,629.16 = 4,099.48/x
  3. Step 3: Cross multiply
    12,417.64x = 18,629.16 × 4,099.48
  4. Step 4: Simplify right side
    12,417.64x = 76,369,868.84
  5. Step 5: Solve for x
    x = 76,369,868.84/12,417.64
  6. Step 6: Final answer
    x = 6,150.11

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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.