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Finding the Fourth Proportional to 21,491.16, 32,223.45 and 7,447.92

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Solution

The fourth proportional to 21,491.16, 32,223.45 and 7,447.92 is: 11,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.16 : 32,223.45 = 7,447.92 : x
  2. Step 2: Convert to fraction form
    21,491.16/32,223.45 = 7,447.92/x
  3. Step 3: Cross multiply
    21,491.16x = 32,223.45 × 7,447.92
  4. Step 4: Simplify right side
    21,491.16x = 239,997,677.72
  5. Step 5: Solve for x
    x = 239,997,677.72/21,491.16
  6. Step 6: Final answer
    x = 11,167.27

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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.