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Finding the Fourth Proportional to 26,613.95, 36,726.77 and 14,678.40

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Solution

The fourth proportional to 26,613.95, 36,726.77 and 14,678.40 is: 20,255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,613.95 : 36,726.77 = 14,678.40 : x
  2. Step 2: Convert to fraction form
    26,613.95/36,726.77 = 14,678.40/x
  3. Step 3: Cross multiply
    26,613.95x = 36,726.77 × 14,678.40
  4. Step 4: Simplify right side
    26,613.95x = 539,090,147.38
  5. Step 5: Solve for x
    x = 539,090,147.38/26,613.95
  6. Step 6: Final answer
    x = 20,255.93

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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.