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Finding the Fourth Proportional to 14,767.14, 20,368.14 and 14,278.98

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Solution

The fourth proportional to 14,767.14, 20,368.14 and 14,278.98 is: 19,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,767.14 : 20,368.14 = 14,278.98 : x
  2. Step 2: Convert to fraction form
    14,767.14/20,368.14 = 14,278.98/x
  3. Step 3: Cross multiply
    14,767.14x = 20,368.14 × 14,278.98
  4. Step 4: Simplify right side
    14,767.14x = 290,836,263.70
  5. Step 5: Solve for x
    x = 290,836,263.70/14,767.14
  6. Step 6: Final answer
    x = 19,694.83

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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.