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Finding the Fourth Proportional to 14,832.64, 22,238.55 and 5,471.47

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Solution

The fourth proportional to 14,832.64, 22,238.55 and 5,471.47 is: 8,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832.64 : 22,238.55 = 5,471.47 : x
  2. Step 2: Convert to fraction form
    14,832.64/22,238.55 = 5,471.47/x
  3. Step 3: Cross multiply
    14,832.64x = 22,238.55 × 5,471.47
  4. Step 4: Simplify right side
    14,832.64x = 121,677,461.87
  5. Step 5: Solve for x
    x = 121,677,461.87/14,832.64
  6. Step 6: Final answer
    x = 8,203.36

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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.