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Finding the Fourth Proportional to 14,838.82, 20,476.72 and 8,123.14

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Solution

The fourth proportional to 14,838.82, 20,476.72 and 8,123.14 is: 11,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.82 : 20,476.72 = 8,123.14 : x
  2. Step 2: Convert to fraction form
    14,838.82/20,476.72 = 8,123.14/x
  3. Step 3: Cross multiply
    14,838.82x = 20,476.72 × 8,123.14
  4. Step 4: Simplify right side
    14,838.82x = 166,335,263.30
  5. Step 5: Solve for x
    x = 166,335,263.30/14,838.82
  6. Step 6: Final answer
    x = 11,209.47

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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.