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Finding the Fourth Proportional to 15,701, 21,667.42 and 8,530.94

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Solution

The fourth proportional to 15,701, 21,667.42 and 8,530.94 is: 11,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701 : 21,667.42 = 8,530.94 : x
  2. Step 2: Convert to fraction form
    15,701/21,667.42 = 8,530.94/x
  3. Step 3: Cross multiply
    15,701x = 21,667.42 × 8,530.94
  4. Step 4: Simplify right side
    15,701x = 184,843,308.98
  5. Step 5: Solve for x
    x = 184,843,308.98/15,701
  6. Step 6: Final answer
    x = 11,772.71

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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.