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Finding the Fourth Proportional to 12,423.92, 18,633.72 and 4,102.64

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Solution

The fourth proportional to 12,423.92, 18,633.72 and 4,102.64 is: 6,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.92 : 18,633.72 = 4,102.64 : x
  2. Step 2: Convert to fraction form
    12,423.92/18,633.72 = 4,102.64/x
  3. Step 3: Cross multiply
    12,423.92x = 18,633.72 × 4,102.64
  4. Step 4: Simplify right side
    12,423.92x = 76,447,445.02
  5. Step 5: Solve for x
    x = 76,447,445.02/12,423.92
  6. Step 6: Final answer
    x = 6,153.25

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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.