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Finding the Fourth Proportional to 16,222.60, 24,312.30 and 11,600.20

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Solution

The fourth proportional to 16,222.60, 24,312.30 and 11,600.20 is: 17,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.60 : 24,312.30 = 11,600.20 : x
  2. Step 2: Convert to fraction form
    16,222.60/24,312.30 = 11,600.20/x
  3. Step 3: Cross multiply
    16,222.60x = 24,312.30 × 11,600.20
  4. Step 4: Simplify right side
    16,222.60x = 282,027,542.46
  5. Step 5: Solve for x
    x = 282,027,542.46/16,222.60
  6. Step 6: Final answer
    x = 17,384.85

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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.