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Finding the Fourth Proportional to 26,291.72, 36,268.64 and 17,782.47

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Solution

The fourth proportional to 26,291.72, 36,268.64 and 17,782.47 is: 24,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,291.72 : 36,268.64 = 17,782.47 : x
  2. Step 2: Convert to fraction form
    26,291.72/36,268.64 = 17,782.47/x
  3. Step 3: Cross multiply
    26,291.72x = 36,268.64 × 17,782.47
  4. Step 4: Simplify right side
    26,291.72x = 644,946,002.74
  5. Step 5: Solve for x
    x = 644,946,002.74/26,291.72
  6. Step 6: Final answer
    x = 24,530.38

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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.