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Finding the Fourth Proportional to 22,703.72, 31,333.90 and 13,751

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Solution

The fourth proportional to 22,703.72, 31,333.90 and 13,751 is: 18,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,703.72 : 31,333.90 = 13,751 : x
  2. Step 2: Convert to fraction form
    22,703.72/31,333.90 = 13,751/x
  3. Step 3: Cross multiply
    22,703.72x = 31,333.90 × 13,751
  4. Step 4: Simplify right side
    22,703.72x = 430,872,458.90
  5. Step 5: Solve for x
    x = 430,872,458.90/22,703.72
  6. Step 6: Final answer
    x = 18,978.06

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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.