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Finding the Fourth Proportional to 21,272.76, 31,909.26 and 7,421.76

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Solution

The fourth proportional to 21,272.76, 31,909.26 and 7,421.76 is: 11,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272.76 : 31,909.26 = 7,421.76 : x
  2. Step 2: Convert to fraction form
    21,272.76/31,909.26 = 7,421.76/x
  3. Step 3: Cross multiply
    21,272.76x = 31,909.26 × 7,421.76
  4. Step 4: Simplify right side
    21,272.76x = 236,822,869.50
  5. Step 5: Solve for x
    x = 236,822,869.50/21,272.76
  6. Step 6: Final answer
    x = 11,132.68

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