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Finding the Fourth Proportional to 16,531.84, 22,805.00 and 10,471.13

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Solution

The fourth proportional to 16,531.84, 22,805.00 and 10,471.13 is: 14,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.84 : 22,805.00 = 10,471.13 : x
  2. Step 2: Convert to fraction form
    16,531.84/22,805.00 = 10,471.13/x
  3. Step 3: Cross multiply
    16,531.84x = 22,805.00 × 10,471.13
  4. Step 4: Simplify right side
    16,531.84x = 238,794,067.29
  5. Step 5: Solve for x
    x = 238,794,067.29/16,531.84
  6. Step 6: Final answer
    x = 14,444.49

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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.