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Finding the Fourth Proportional to 16,579, 24,868.50 and 4,892.05

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Solution

The fourth proportional to 16,579, 24,868.50 and 4,892.05 is: 7,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,579 : 24,868.50 = 4,892.05 : x
  2. Step 2: Convert to fraction form
    16,579/24,868.50 = 4,892.05/x
  3. Step 3: Cross multiply
    16,579x = 24,868.50 × 4,892.05
  4. Step 4: Simplify right side
    16,579x = 121,657,945.43
  5. Step 5: Solve for x
    x = 121,657,945.43/16,579
  6. Step 6: Final answer
    x = 7,338.08

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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.