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Finding the Fourth Proportional to 21,347.50, 32,026.11 and 7,496.50

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Solution

The fourth proportional to 21,347.50, 32,026.11 and 7,496.50 is: 11,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.50 : 32,026.11 = 7,496.50 : x
  2. Step 2: Convert to fraction form
    21,347.50/32,026.11 = 7,496.50/x
  3. Step 3: Cross multiply
    21,347.50x = 32,026.11 × 7,496.50
  4. Step 4: Simplify right side
    21,347.50x = 240,083,733.62
  5. Step 5: Solve for x
    x = 240,083,733.62/21,347.50
  6. Step 6: Final answer
    x = 11,246.46

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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.