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Finding the Fourth Proportional to 12,643.88, 18,951.69 and 4,738.79

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Solution

The fourth proportional to 12,643.88, 18,951.69 and 4,738.79 is: 7,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.88 : 18,951.69 = 4,738.79 : x
  2. Step 2: Convert to fraction form
    12,643.88/18,951.69 = 4,738.79/x
  3. Step 3: Cross multiply
    12,643.88x = 18,951.69 × 4,738.79
  4. Step 4: Simplify right side
    12,643.88x = 89,808,079.06
  5. Step 5: Solve for x
    x = 89,808,079.06/12,643.88
  6. Step 6: Final answer
    x = 7,102.89

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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.