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Finding the Fourth Proportional to 16,108.64, 24,161.32 and 7,341.20

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Solution

The fourth proportional to 16,108.64, 24,161.32 and 7,341.20 is: 11,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,108.64 : 24,161.32 = 7,341.20 : x
  2. Step 2: Convert to fraction form
    16,108.64/24,161.32 = 7,341.20/x
  3. Step 3: Cross multiply
    16,108.64x = 24,161.32 × 7,341.20
  4. Step 4: Simplify right side
    16,108.64x = 177,373,082.38
  5. Step 5: Solve for x
    x = 177,373,082.38/16,108.64
  6. Step 6: Final answer
    x = 11,011.05

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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.