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Finding the Fourth Proportional to 22,832.00, 31,528.19 and 14,348.82

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Solution

The fourth proportional to 22,832.00, 31,528.19 and 14,348.82 is: 19,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.00 : 31,528.19 = 14,348.82 : x
  2. Step 2: Convert to fraction form
    22,832.00/31,528.19 = 14,348.82/x
  3. Step 3: Cross multiply
    22,832.00x = 31,528.19 × 14,348.82
  4. Step 4: Simplify right side
    22,832.00x = 452,392,359.11
  5. Step 5: Solve for x
    x = 452,392,359.11/22,832.00
  6. Step 6: Final answer
    x = 19,813.97

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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.