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Finding the Fourth Proportional to 16,193.12, 22,347.48 and 10,806.32

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Solution

The fourth proportional to 16,193.12, 22,347.48 and 10,806.32 is: 14,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.12 : 22,347.48 = 10,806.32 : x
  2. Step 2: Convert to fraction form
    16,193.12/22,347.48 = 10,806.32/x
  3. Step 3: Cross multiply
    16,193.12x = 22,347.48 × 10,806.32
  4. Step 4: Simplify right side
    16,193.12x = 241,494,020.07
  5. Step 5: Solve for x
    x = 241,494,020.07/16,193.12
  6. Step 6: Final answer
    x = 14,913.37

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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.