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Finding the Fourth Proportional to 16,937.66, 23,371.76 and 9,767.84

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Solution

The fourth proportional to 16,937.66, 23,371.76 and 9,767.84 is: 13,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,937.66 : 23,371.76 = 9,767.84 : x
  2. Step 2: Convert to fraction form
    16,937.66/23,371.76 = 9,767.84/x
  3. Step 3: Cross multiply
    16,937.66x = 23,371.76 × 9,767.84
  4. Step 4: Simplify right side
    16,937.66x = 228,291,563.36
  5. Step 5: Solve for x
    x = 228,291,563.36/16,937.66
  6. Step 6: Final answer
    x = 13,478.34

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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.