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Finding the Fourth Proportional to 14,838.96, 20,476.98 and 8,123.30

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Solution

The fourth proportional to 14,838.96, 20,476.98 and 8,123.30 is: 11,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.96 : 20,476.98 = 8,123.30 : x
  2. Step 2: Convert to fraction form
    14,838.96/20,476.98 = 8,123.30/x
  3. Step 3: Cross multiply
    14,838.96x = 20,476.98 × 8,123.30
  4. Step 4: Simplify right side
    14,838.96x = 166,340,620.75
  5. Step 5: Solve for x
    x = 166,340,620.75/14,838.96
  6. Step 6: Final answer
    x = 11,209.72

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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.