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Finding the Fourth Proportional to 21,083.59, 31,625.69 and 9,234.91

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Solution

The fourth proportional to 21,083.59, 31,625.69 and 9,234.91 is: 13,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.59 : 31,625.69 = 9,234.91 : x
  2. Step 2: Convert to fraction form
    21,083.59/31,625.69 = 9,234.91/x
  3. Step 3: Cross multiply
    21,083.59x = 31,625.69 × 9,234.91
  4. Step 4: Simplify right side
    21,083.59x = 292,060,446.14
  5. Step 5: Solve for x
    x = 292,060,446.14/21,083.59
  6. Step 6: Final answer
    x = 13,852.50

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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.