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Finding the Fourth Proportional to 26,148.55, 36,085.04 and 14,211.86

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Solution

The fourth proportional to 26,148.55, 36,085.04 and 14,211.86 is: 19,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,148.55 : 36,085.04 = 14,211.86 : x
  2. Step 2: Convert to fraction form
    26,148.55/36,085.04 = 14,211.86/x
  3. Step 3: Cross multiply
    26,148.55x = 36,085.04 × 14,211.86
  4. Step 4: Simplify right side
    26,148.55x = 512,835,418.33
  5. Step 5: Solve for x
    x = 512,835,418.33/26,148.55
  6. Step 6: Final answer
    x = 19,612.39

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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.