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Finding the Fourth Proportional to 14,471.79, 19,972.14 and 8,099.02

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Solution

The fourth proportional to 14,471.79, 19,972.14 and 8,099.02 is: 11,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.79 : 19,972.14 = 8,099.02 : x
  2. Step 2: Convert to fraction form
    14,471.79/19,972.14 = 8,099.02/x
  3. Step 3: Cross multiply
    14,471.79x = 19,972.14 × 8,099.02
  4. Step 4: Simplify right side
    14,471.79x = 161,754,711.37
  5. Step 5: Solve for x
    x = 161,754,711.37/14,471.79
  6. Step 6: Final answer
    x = 11,177.24

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1.5x scale

Why These Related Problems?

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