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Finding the Fourth Proportional to 16,546, 22,833.56 and 9,094

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Solution

The fourth proportional to 16,546, 22,833.56 and 9,094 is: 12,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546 : 22,833.56 = 9,094 : x
  2. Step 2: Convert to fraction form
    16,546/22,833.56 = 9,094/x
  3. Step 3: Cross multiply
    16,546x = 22,833.56 × 9,094
  4. Step 4: Simplify right side
    16,546x = 207,648,394.64
  5. Step 5: Solve for x
    x = 207,648,394.64/16,546
  6. Step 6: Final answer
    x = 12,549.76

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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.