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Finding the Fourth Proportional to 16,706.72, 23,053.20 and 9,256.16

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Solution

The fourth proportional to 16,706.72, 23,053.20 and 9,256.16 is: 12,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.72 : 23,053.20 = 9,256.16 : x
  2. Step 2: Convert to fraction form
    16,706.72/23,053.20 = 9,256.16/x
  3. Step 3: Cross multiply
    16,706.72x = 23,053.20 × 9,256.16
  4. Step 4: Simplify right side
    16,706.72x = 213,384,107.71
  5. Step 5: Solve for x
    x = 213,384,107.71/16,706.72
  6. Step 6: Final answer
    x = 12,772.35

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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.