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Finding the Fourth Proportional to 22,147.38, 30,564.16 and 12,076.66

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Solution

The fourth proportional to 22,147.38, 30,564.16 and 12,076.66 is: 16,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.38 : 30,564.16 = 12,076.66 : x
  2. Step 2: Convert to fraction form
    22,147.38/30,564.16 = 12,076.66/x
  3. Step 3: Cross multiply
    22,147.38x = 30,564.16 × 12,076.66
  4. Step 4: Simplify right side
    22,147.38x = 369,112,968.51
  5. Step 5: Solve for x
    x = 369,112,968.51/22,147.38
  6. Step 6: Final answer
    x = 16,666.21

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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.