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Finding the Fourth Proportional to 16,838.72, 23,238.60 and 9,767.60

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Solution

The fourth proportional to 16,838.72, 23,238.60 and 9,767.60 is: 13,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.72 : 23,238.60 = 9,767.60 : x
  2. Step 2: Convert to fraction form
    16,838.72/23,238.60 = 9,767.60/x
  3. Step 3: Cross multiply
    16,838.72x = 23,238.60 × 9,767.60
  4. Step 4: Simplify right side
    16,838.72x = 226,985,349.36
  5. Step 5: Solve for x
    x = 226,985,349.36/16,838.72
  6. Step 6: Final answer
    x = 13,479.96

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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.