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Finding the Fourth Proportional to 21,431.52, 32,147.04 and 7,577.28

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Solution

The fourth proportional to 21,431.52, 32,147.04 and 7,577.28 is: 11,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.52 : 32,147.04 = 7,577.28 : x
  2. Step 2: Convert to fraction form
    21,431.52/32,147.04 = 7,577.28/x
  3. Step 3: Cross multiply
    21,431.52x = 32,147.04 × 7,577.28
  4. Step 4: Simplify right side
    21,431.52x = 243,587,123.25
  5. Step 5: Solve for x
    x = 243,587,123.25/21,431.52
  6. Step 6: Final answer
    x = 11,365.84

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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.