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Finding the Fourth Proportional to 21,577.96, 32,387.10 and 11,197

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Solution

The fourth proportional to 21,577.96, 32,387.10 and 11,197 is: 16,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.96 : 32,387.10 = 11,197 : x
  2. Step 2: Convert to fraction form
    21,577.96/32,387.10 = 11,197/x
  3. Step 3: Cross multiply
    21,577.96x = 32,387.10 × 11,197
  4. Step 4: Simplify right side
    21,577.96x = 362,638,358.70
  5. Step 5: Solve for x
    x = 362,638,358.70/21,577.96
  6. Step 6: Final answer
    x = 16,805.96

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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.