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Finding the Fourth Proportional to 16,157.46, 22,296.45 and 9,083.43

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Solution

The fourth proportional to 16,157.46, 22,296.45 and 9,083.43 is: 12,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.46 : 22,296.45 = 9,083.43 : x
  2. Step 2: Convert to fraction form
    16,157.46/22,296.45 = 9,083.43/x
  3. Step 3: Cross multiply
    16,157.46x = 22,296.45 × 9,083.43
  4. Step 4: Simplify right side
    16,157.46x = 202,528,242.82
  5. Step 5: Solve for x
    x = 202,528,242.82/16,157.46
  6. Step 6: Final answer
    x = 12,534.66

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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.