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Finding the Fourth Proportional to 16,066, 24,097.38 and 7,298.56

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Solution

The fourth proportional to 16,066, 24,097.38 and 7,298.56 is: 10,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,066 : 24,097.38 = 7,298.56 : x
  2. Step 2: Convert to fraction form
    16,066/24,097.38 = 7,298.56/x
  3. Step 3: Cross multiply
    16,066x = 24,097.38 × 7,298.56
  4. Step 4: Simplify right side
    16,066x = 175,876,173.77
  5. Step 5: Solve for x
    x = 175,876,173.77/16,066
  6. Step 6: Final answer
    x = 10,947.10

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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.