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Finding the Fourth Proportional to 16,709.84, 23,061.68 and 9,636.32

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Solution

The fourth proportional to 16,709.84, 23,061.68 and 9,636.32 is: 13,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.84 : 23,061.68 = 9,636.32 : x
  2. Step 2: Convert to fraction form
    16,709.84/23,061.68 = 9,636.32/x
  3. Step 3: Cross multiply
    16,709.84x = 23,061.68 × 9,636.32
  4. Step 4: Simplify right side
    16,709.84x = 222,229,728.22
  5. Step 5: Solve for x
    x = 222,229,728.22/16,709.84
  6. Step 6: Final answer
    x = 13,299.33

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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.