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Finding the Fourth Proportional to 14,972.94, 20,663.82 and 8,259.90

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Solution

The fourth proportional to 14,972.94, 20,663.82 and 8,259.90 is: 11,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.94 : 20,663.82 = 8,259.90 : x
  2. Step 2: Convert to fraction form
    14,972.94/20,663.82 = 8,259.90/x
  3. Step 3: Cross multiply
    14,972.94x = 20,663.82 × 8,259.90
  4. Step 4: Simplify right side
    14,972.94x = 170,681,086.82
  5. Step 5: Solve for x
    x = 170,681,086.82/14,972.94
  6. Step 6: Final answer
    x = 11,399.30

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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.