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Finding the Fourth Proportional to 17,508.38, 24,154.67 and 10,782.33

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Solution

The fourth proportional to 17,508.38, 24,154.67 and 10,782.33 is: 14,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,508.38 : 24,154.67 = 10,782.33 : x
  2. Step 2: Convert to fraction form
    17,508.38/24,154.67 = 10,782.33/x
  3. Step 3: Cross multiply
    17,508.38x = 24,154.67 × 10,782.33
  4. Step 4: Simplify right side
    17,508.38x = 260,443,502.21
  5. Step 5: Solve for x
    x = 260,443,502.21/17,508.38
  6. Step 6: Final answer
    x = 14,875.37

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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.