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Finding the Fourth Proportional to 16,706.93, 23,055.80 and 9,153.09

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Solution

The fourth proportional to 16,706.93, 23,055.80 and 9,153.09 is: 12,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.93 : 23,055.80 = 9,153.09 : x
  2. Step 2: Convert to fraction form
    16,706.93/23,055.80 = 9,153.09/x
  3. Step 3: Cross multiply
    16,706.93x = 23,055.80 × 9,153.09
  4. Step 4: Simplify right side
    16,706.93x = 211,031,766.66
  5. Step 5: Solve for x
    x = 211,031,766.66/16,706.93
  6. Step 6: Final answer
    x = 12,631.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.