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Finding the Fourth Proportional to 12,470.64, 18,690.36 and 6,232.40

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Solution

The fourth proportional to 12,470.64, 18,690.36 and 6,232.40 is: 9,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.64 : 18,690.36 = 6,232.40 : x
  2. Step 2: Convert to fraction form
    12,470.64/18,690.36 = 6,232.40/x
  3. Step 3: Cross multiply
    12,470.64x = 18,690.36 × 6,232.40
  4. Step 4: Simplify right side
    12,470.64x = 116,485,799.66
  5. Step 5: Solve for x
    x = 116,485,799.66/12,470.64
  6. Step 6: Final answer
    x = 9,340.80

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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.