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Finding the Fourth Proportional to 16,537.24, 22,821.64 and 8,983.72

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Solution

The fourth proportional to 16,537.24, 22,821.64 and 8,983.72 is: 12,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.24 : 22,821.64 = 8,983.72 : x
  2. Step 2: Convert to fraction form
    16,537.24/22,821.64 = 8,983.72/x
  3. Step 3: Cross multiply
    16,537.24x = 22,821.64 × 8,983.72
  4. Step 4: Simplify right side
    16,537.24x = 205,023,223.70
  5. Step 5: Solve for x
    x = 205,023,223.70/16,537.24
  6. Step 6: Final answer
    x = 12,397.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.