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Finding the Fourth Proportional to 14,305.14, 21,433.95 and 10,124.46

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Solution

The fourth proportional to 14,305.14, 21,433.95 and 10,124.46 is: 15,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.14 : 21,433.95 = 10,124.46 : x
  2. Step 2: Convert to fraction form
    14,305.14/21,433.95 = 10,124.46/x
  3. Step 3: Cross multiply
    14,305.14x = 21,433.95 × 10,124.46
  4. Step 4: Simplify right side
    14,305.14x = 217,007,169.42
  5. Step 5: Solve for x
    x = 217,007,169.42/14,305.14
  6. Step 6: Final answer
    x = 15,169.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.