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Finding the Fourth Proportional to 21,137.74, 31,707.11 and 7,098.22

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Solution

The fourth proportional to 21,137.74, 31,707.11 and 7,098.22 is: 10,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.74 : 31,707.11 = 7,098.22 : x
  2. Step 2: Convert to fraction form
    21,137.74/31,707.11 = 7,098.22/x
  3. Step 3: Cross multiply
    21,137.74x = 31,707.11 × 7,098.22
  4. Step 4: Simplify right side
    21,137.74x = 225,063,980.82
  5. Step 5: Solve for x
    x = 225,063,980.82/21,137.74
  6. Step 6: Final answer
    x = 10,647.50

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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.