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Finding the Fourth Proportional to 21,603.72, 32,405.58 and 7,745.16

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Solution

The fourth proportional to 21,603.72, 32,405.58 and 7,745.16 is: 11,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,603.72 : 32,405.58 = 7,745.16 : x
  2. Step 2: Convert to fraction form
    21,603.72/32,405.58 = 7,745.16/x
  3. Step 3: Cross multiply
    21,603.72x = 32,405.58 × 7,745.16
  4. Step 4: Simplify right side
    21,603.72x = 250,986,401.99
  5. Step 5: Solve for x
    x = 250,986,401.99/21,603.72
  6. Step 6: Final answer
    x = 11,617.74

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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.