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Finding the Fourth Proportional to 16,399.29, 22,636.87 and 9,684.95

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Solution

The fourth proportional to 16,399.29, 22,636.87 and 9,684.95 is: 13,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.29 : 22,636.87 = 9,684.95 : x
  2. Step 2: Convert to fraction form
    16,399.29/22,636.87 = 9,684.95/x
  3. Step 3: Cross multiply
    16,399.29x = 22,636.87 × 9,684.95
  4. Step 4: Simplify right side
    16,399.29x = 219,236,954.11
  5. Step 5: Solve for x
    x = 219,236,954.11/16,399.29
  6. Step 6: Final answer
    x = 13,368.69

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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.