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Finding the Fourth Proportional to 21,255.90, 31,883.85 and 7,401.66

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Solution

The fourth proportional to 21,255.90, 31,883.85 and 7,401.66 is: 11,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,255.90 : 31,883.85 = 7,401.66 : x
  2. Step 2: Convert to fraction form
    21,255.90/31,883.85 = 7,401.66/x
  3. Step 3: Cross multiply
    21,255.90x = 31,883.85 × 7,401.66
  4. Step 4: Simplify right side
    21,255.90x = 235,993,417.19
  5. Step 5: Solve for x
    x = 235,993,417.19/21,255.90
  6. Step 6: Final answer
    x = 11,102.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.