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Finding the Fourth Proportional to 16,760.77, 23,130.23 and 9,207.20

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Solution

The fourth proportional to 16,760.77, 23,130.23 and 9,207.20 is: 12,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760.77 : 23,130.23 = 9,207.20 : x
  2. Step 2: Convert to fraction form
    16,760.77/23,130.23 = 9,207.20/x
  3. Step 3: Cross multiply
    16,760.77x = 23,130.23 × 9,207.20
  4. Step 4: Simplify right side
    16,760.77x = 212,964,665.45
  5. Step 5: Solve for x
    x = 212,964,665.45/16,760.77
  6. Step 6: Final answer
    x = 12,706.14

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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.