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Finding the Fourth Proportional to 16,718, 23,071.56 and 9,266

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Solution

The fourth proportional to 16,718, 23,071.56 and 9,266 is: 12,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,718 : 23,071.56 = 9,266 : x
  2. Step 2: Convert to fraction form
    16,718/23,071.56 = 9,266/x
  3. Step 3: Cross multiply
    16,718x = 23,071.56 × 9,266
  4. Step 4: Simplify right side
    16,718x = 213,781,074.96
  5. Step 5: Solve for x
    x = 213,781,074.96/16,718
  6. Step 6: Final answer
    x = 12,787.48

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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.