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Finding the Fourth Proportional to 21,461.40, 32,132.67 and 16,180.41

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Solution

The fourth proportional to 21,461.40, 32,132.67 and 16,180.41 is: 24,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.40 : 32,132.67 = 16,180.41 : x
  2. Step 2: Convert to fraction form
    21,461.40/32,132.67 = 16,180.41/x
  3. Step 3: Cross multiply
    21,461.40x = 32,132.67 × 16,180.41
  4. Step 4: Simplify right side
    21,461.40x = 519,919,774.99
  5. Step 5: Solve for x
    x = 519,919,774.99/21,461.40
  6. Step 6: Final answer
    x = 24,225.81

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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.