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Finding the Fourth Proportional to 14,252.35, 19,667.82 and 7,964.71

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Solution

The fourth proportional to 14,252.35, 19,667.82 and 7,964.71 is: 10,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.35 : 19,667.82 = 7,964.71 : x
  2. Step 2: Convert to fraction form
    14,252.35/19,667.82 = 7,964.71/x
  3. Step 3: Cross multiply
    14,252.35x = 19,667.82 × 7,964.71
  4. Step 4: Simplify right side
    14,252.35x = 156,648,482.63
  5. Step 5: Solve for x
    x = 156,648,482.63/14,252.35
  6. Step 6: Final answer
    x = 10,991.06

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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.