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Finding the Fourth Proportional to 16,252.16, 22,428.42 and 9,179.63

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Solution

The fourth proportional to 16,252.16, 22,428.42 and 9,179.63 is: 12,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.16 : 22,428.42 = 9,179.63 : x
  2. Step 2: Convert to fraction form
    16,252.16/22,428.42 = 9,179.63/x
  3. Step 3: Cross multiply
    16,252.16x = 22,428.42 × 9,179.63
  4. Step 4: Simplify right side
    16,252.16x = 205,884,597.08
  5. Step 5: Solve for x
    x = 205,884,597.08/16,252.16
  6. Step 6: Final answer
    x = 12,668.14

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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.