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Finding the Fourth Proportional to 21,709.92, 32,563.68 and 6,126.72

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Solution

The fourth proportional to 21,709.92, 32,563.68 and 6,126.72 is: 9,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.92 : 32,563.68 = 6,126.72 : x
  2. Step 2: Convert to fraction form
    21,709.92/32,563.68 = 6,126.72/x
  3. Step 3: Cross multiply
    21,709.92x = 32,563.68 × 6,126.72
  4. Step 4: Simplify right side
    21,709.92x = 199,508,549.53
  5. Step 5: Solve for x
    x = 199,508,549.53/21,709.92
  6. Step 6: Final answer
    x = 9,189.74

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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.