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Finding the Fourth Proportional to 14,292.44, 19,724.17 and 8,323.15

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Solution

The fourth proportional to 14,292.44, 19,724.17 and 8,323.15 is: 11,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.44 : 19,724.17 = 8,323.15 : x
  2. Step 2: Convert to fraction form
    14,292.44/19,724.17 = 8,323.15/x
  3. Step 3: Cross multiply
    14,292.44x = 19,724.17 × 8,323.15
  4. Step 4: Simplify right side
    14,292.44x = 164,167,126.91
  5. Step 5: Solve for x
    x = 164,167,126.91/14,292.44
  6. Step 6: Final answer
    x = 11,486.29

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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.