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Finding the Fourth Proportional to 12,480, 18,734.40 and 6,336.96

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Solution

The fourth proportional to 12,480, 18,734.40 and 6,336.96 is: 9,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480 : 18,734.40 = 6,336.96 : x
  2. Step 2: Convert to fraction form
    12,480/18,734.40 = 6,336.96/x
  3. Step 3: Cross multiply
    12,480x = 18,734.40 × 6,336.96
  4. Step 4: Simplify right side
    12,480x = 118,719,143.42
  5. Step 5: Solve for x
    x = 118,719,143.42/12,480
  6. Step 6: Final answer
    x = 9,512.75

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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.