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Finding the Fourth Proportional to 16,657.16, 24,998.11 and 7,892.10

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Solution

The fourth proportional to 16,657.16, 24,998.11 and 7,892.10 is: 11,844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.16 : 24,998.11 = 7,892.10 : x
  2. Step 2: Convert to fraction form
    16,657.16/24,998.11 = 7,892.10/x
  3. Step 3: Cross multiply
    16,657.16x = 24,998.11 × 7,892.10
  4. Step 4: Simplify right side
    16,657.16x = 197,287,564.20
  5. Step 5: Solve for x
    x = 197,287,564.20/16,657.16
  6. Step 6: Final answer
    x = 11,844.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.