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Finding the Fourth Proportional to 16,441.92, 22,678.38 and 10,475.10

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Solution

The fourth proportional to 16,441.92, 22,678.38 and 10,475.10 is: 14,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.92 : 22,678.38 = 10,475.10 : x
  2. Step 2: Convert to fraction form
    16,441.92/22,678.38 = 10,475.10/x
  3. Step 3: Cross multiply
    16,441.92x = 22,678.38 × 10,475.10
  4. Step 4: Simplify right side
    16,441.92x = 237,558,298.34
  5. Step 5: Solve for x
    x = 237,558,298.34/16,441.92
  6. Step 6: Final answer
    x = 14,448.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.