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Finding the Fourth Proportional to 16,366.34, 22,583.10 and 9,195.98

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Solution

The fourth proportional to 16,366.34, 22,583.10 and 9,195.98 is: 12,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366.34 : 22,583.10 = 9,195.98 : x
  2. Step 2: Convert to fraction form
    16,366.34/22,583.10 = 9,195.98/x
  3. Step 3: Cross multiply
    16,366.34x = 22,583.10 × 9,195.98
  4. Step 4: Simplify right side
    16,366.34x = 207,673,735.94
  5. Step 5: Solve for x
    x = 207,673,735.94/16,366.34
  6. Step 6: Final answer
    x = 12,689.08

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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.