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Finding the Fourth Proportional to 14,292, 19,722.96 and 8,006.40

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Solution

The fourth proportional to 14,292, 19,722.96 and 8,006.40 is: 11,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292 : 19,722.96 = 8,006.40 : x
  2. Step 2: Convert to fraction form
    14,292/19,722.96 = 8,006.40/x
  3. Step 3: Cross multiply
    14,292x = 19,722.96 × 8,006.40
  4. Step 4: Simplify right side
    14,292x = 157,909,906.94
  5. Step 5: Solve for x
    x = 157,909,906.94/14,292
  6. Step 6: Final answer
    x = 11,048.83

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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.