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Finding the Fourth Proportional to 14,264, 19,683.92 and 7,976.40

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Solution

The fourth proportional to 14,264, 19,683.92 and 7,976.40 is: 11,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264 : 19,683.92 = 7,976.40 : x
  2. Step 2: Convert to fraction form
    14,264/19,683.92 = 7,976.40/x
  3. Step 3: Cross multiply
    14,264x = 19,683.92 × 7,976.40
  4. Step 4: Simplify right side
    14,264x = 157,006,819.49
  5. Step 5: Solve for x
    x = 157,006,819.49/14,264
  6. Step 6: Final answer
    x = 11,007.21

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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.