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Finding the Fourth Proportional to 21,774.32, 32,661.48 and 15,537.27

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Solution

The fourth proportional to 21,774.32, 32,661.48 and 15,537.27 is: 23,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.32 : 32,661.48 = 15,537.27 : x
  2. Step 2: Convert to fraction form
    21,774.32/32,661.48 = 15,537.27/x
  3. Step 3: Cross multiply
    21,774.32x = 32,661.48 × 15,537.27
  4. Step 4: Simplify right side
    21,774.32x = 507,470,142.99
  5. Step 5: Solve for x
    x = 507,470,142.99/21,774.32
  6. Step 6: Final answer
    x = 23,305.90

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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.