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Finding the Fourth Proportional to 12,261, 16,917.56 and 7,223.38

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Solution

The fourth proportional to 12,261, 16,917.56 and 7,223.38 is: 9,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261 : 16,917.56 = 7,223.38 : x
  2. Step 2: Convert to fraction form
    12,261/16,917.56 = 7,223.38/x
  3. Step 3: Cross multiply
    12,261x = 16,917.56 × 7,223.38
  4. Step 4: Simplify right side
    12,261x = 122,201,964.55
  5. Step 5: Solve for x
    x = 122,201,964.55/12,261
  6. Step 6: Final answer
    x = 9,966.72

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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.