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Finding the Fourth Proportional to 14,321.52, 19,778.70 and 9,856.80

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Solution

The fourth proportional to 14,321.52, 19,778.70 and 9,856.80 is: 13,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.52 : 19,778.70 = 9,856.80 : x
  2. Step 2: Convert to fraction form
    14,321.52/19,778.70 = 9,856.80/x
  3. Step 3: Cross multiply
    14,321.52x = 19,778.70 × 9,856.80
  4. Step 4: Simplify right side
    14,321.52x = 194,954,690.16
  5. Step 5: Solve for x
    x = 194,954,690.16/14,321.52
  6. Step 6: Final answer
    x = 13,612.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.