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Finding the Fourth Proportional to 14,292, 19,723.68 and 8,325.36

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Solution

The fourth proportional to 14,292, 19,723.68 and 8,325.36 is: 11,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292 : 19,723.68 = 8,325.36 : x
  2. Step 2: Convert to fraction form
    14,292/19,723.68 = 8,325.36/x
  3. Step 3: Cross multiply
    14,292x = 19,723.68 × 8,325.36
  4. Step 4: Simplify right side
    14,292x = 164,206,736.52
  5. Step 5: Solve for x
    x = 164,206,736.52/14,292
  6. Step 6: Final answer
    x = 11,489.42

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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.