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Finding the Fourth Proportional to 21,530.83, 32,299.71 and 7,494.85

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Solution

The fourth proportional to 21,530.83, 32,299.71 and 7,494.85 is: 11,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.83 : 32,299.71 = 7,494.85 : x
  2. Step 2: Convert to fraction form
    21,530.83/32,299.71 = 7,494.85/x
  3. Step 3: Cross multiply
    21,530.83x = 32,299.71 × 7,494.85
  4. Step 4: Simplify right side
    21,530.83x = 242,081,400.74
  5. Step 5: Solve for x
    x = 242,081,400.74/21,530.83
  6. Step 6: Final answer
    x = 11,243.48

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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.