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Finding the Fourth Proportional to 29,667.52, 44,496.96 and 9,946

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Solution

The fourth proportional to 29,667.52, 44,496.96 and 9,946 is: 14,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,667.52 : 44,496.96 = 9,946 : x
  2. Step 2: Convert to fraction form
    29,667.52/44,496.96 = 9,946/x
  3. Step 3: Cross multiply
    29,667.52x = 44,496.96 × 9,946
  4. Step 4: Simplify right side
    29,667.52x = 442,566,764.16
  5. Step 5: Solve for x
    x = 442,566,764.16/29,667.52
  6. Step 6: Final answer
    x = 14,917.55

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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.