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Finding the Fourth Proportional to 17,769.38, 24,521.74 and 10,697.16

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Solution

The fourth proportional to 17,769.38, 24,521.74 and 10,697.16 is: 14,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769.38 : 24,521.74 = 10,697.16 : x
  2. Step 2: Convert to fraction form
    17,769.38/24,521.74 = 10,697.16/x
  3. Step 3: Cross multiply
    17,769.38x = 24,521.74 × 10,697.16
  4. Step 4: Simplify right side
    17,769.38x = 262,313,041.47
  5. Step 5: Solve for x
    x = 262,313,041.47/17,769.38
  6. Step 6: Final answer
    x = 14,762.09

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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.