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Finding the Fourth Proportional to 14,997.12, 22,488.96 and 5,760

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Solution

The fourth proportional to 14,997.12, 22,488.96 and 5,760 is: 8,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.12 : 22,488.96 = 5,760 : x
  2. Step 2: Convert to fraction form
    14,997.12/22,488.96 = 5,760/x
  3. Step 3: Cross multiply
    14,997.12x = 22,488.96 × 5,760
  4. Step 4: Simplify right side
    14,997.12x = 129,536,409.60
  5. Step 5: Solve for x
    x = 129,536,409.60/14,997.12
  6. Step 6: Final answer
    x = 8,637.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.