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Finding the Fourth Proportional to 21,773.76, 32,652.80 and 7,538.37

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Solution

The fourth proportional to 21,773.76, 32,652.80 and 7,538.37 is: 11,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.76 : 32,652.80 = 7,538.37 : x
  2. Step 2: Convert to fraction form
    21,773.76/32,652.80 = 7,538.37/x
  3. Step 3: Cross multiply
    21,773.76x = 32,652.80 × 7,538.37
  4. Step 4: Simplify right side
    21,773.76x = 246,148,887.94
  5. Step 5: Solve for x
    x = 246,148,887.94/21,773.76
  6. Step 6: Final answer
    x = 11,304.84

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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.