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Finding the Fourth Proportional to 16,316, 24,473.92 and 4,629.24

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Solution

The fourth proportional to 16,316, 24,473.92 and 4,629.24 is: 6,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316 : 24,473.92 = 4,629.24 : x
  2. Step 2: Convert to fraction form
    16,316/24,473.92 = 4,629.24/x
  3. Step 3: Cross multiply
    16,316x = 24,473.92 × 4,629.24
  4. Step 4: Simplify right side
    16,316x = 113,295,649.42
  5. Step 5: Solve for x
    x = 113,295,649.42/16,316
  6. Step 6: Final answer
    x = 6,943.84

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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.