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Finding the Fourth Proportional to 13,176.72, 19,767.96 and 3,942

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Solution

The fourth proportional to 13,176.72, 19,767.96 and 3,942 is: 5,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.72 : 19,767.96 = 3,942 : x
  2. Step 2: Convert to fraction form
    13,176.72/19,767.96 = 3,942/x
  3. Step 3: Cross multiply
    13,176.72x = 19,767.96 × 3,942
  4. Step 4: Simplify right side
    13,176.72x = 77,925,298.32
  5. Step 5: Solve for x
    x = 77,925,298.32/13,176.72
  6. Step 6: Final answer
    x = 5,913.86

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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.