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Finding the Fourth Proportional to 14,838.83, 20,476.81 and 8,123.18

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Solution

The fourth proportional to 14,838.83, 20,476.81 and 8,123.18 is: 11,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.83 : 20,476.81 = 8,123.18 : x
  2. Step 2: Convert to fraction form
    14,838.83/20,476.81 = 8,123.18/x
  3. Step 3: Cross multiply
    14,838.83x = 20,476.81 × 8,123.18
  4. Step 4: Simplify right side
    14,838.83x = 166,336,711.07
  5. Step 5: Solve for x
    x = 166,336,711.07/14,838.83
  6. Step 6: Final answer
    x = 11,209.56

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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.