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Finding the Fourth Proportional to 21,615.77, 32,427.01 and 9,135.85

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Solution

The fourth proportional to 21,615.77, 32,427.01 and 9,135.85 is: 13,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.77 : 32,427.01 = 9,135.85 : x
  2. Step 2: Convert to fraction form
    21,615.77/32,427.01 = 9,135.85/x
  3. Step 3: Cross multiply
    21,615.77x = 32,427.01 × 9,135.85
  4. Step 4: Simplify right side
    21,615.77x = 296,248,299.31
  5. Step 5: Solve for x
    x = 296,248,299.31/21,615.77
  6. Step 6: Final answer
    x = 13,705.19

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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.