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Finding the Fourth Proportional to 14,887.04, 22,321.92 and 5,648

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Solution

The fourth proportional to 14,887.04, 22,321.92 and 5,648 is: 8,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,887.04 : 22,321.92 = 5,648 : x
  2. Step 2: Convert to fraction form
    14,887.04/22,321.92 = 5,648/x
  3. Step 3: Cross multiply
    14,887.04x = 22,321.92 × 5,648
  4. Step 4: Simplify right side
    14,887.04x = 126,074,204.16
  5. Step 5: Solve for x
    x = 126,074,204.16/14,887.04
  6. Step 6: Final answer
    x = 8,468.72

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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.