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Finding the Fourth Proportional to 16,569.18, 22,863.77 and 10,196.18

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Solution

The fourth proportional to 16,569.18, 22,863.77 and 10,196.18 is: 14,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.18 : 22,863.77 = 10,196.18 : x
  2. Step 2: Convert to fraction form
    16,569.18/22,863.77 = 10,196.18/x
  3. Step 3: Cross multiply
    16,569.18x = 22,863.77 × 10,196.18
  4. Step 4: Simplify right side
    16,569.18x = 233,122,949.10
  5. Step 5: Solve for x
    x = 233,122,949.10/16,569.18
  6. Step 6: Final answer
    x = 14,069.67

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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.