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Finding the Fourth Proportional to 14,834.71, 20,472.02 and 8,120.40

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Solution

The fourth proportional to 14,834.71, 20,472.02 and 8,120.40 is: 11,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.71 : 20,472.02 = 8,120.40 : x
  2. Step 2: Convert to fraction form
    14,834.71/20,472.02 = 8,120.40/x
  3. Step 3: Cross multiply
    14,834.71x = 20,472.02 × 8,120.40
  4. Step 4: Simplify right side
    14,834.71x = 166,240,904.29
  5. Step 5: Solve for x
    x = 166,240,904.29/14,834.71
  6. Step 6: Final answer
    x = 11,206.21

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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.