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Finding the Fourth Proportional to 26,158, 36,098.40 and 14,221.34

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Solution

The fourth proportional to 26,158, 36,098.40 and 14,221.34 is: 19,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,158 : 36,098.40 = 14,221.34 : x
  2. Step 2: Convert to fraction form
    26,158/36,098.40 = 14,221.34/x
  3. Step 3: Cross multiply
    26,158x = 36,098.40 × 14,221.34
  4. Step 4: Simplify right side
    26,158x = 513,367,619.86
  5. Step 5: Solve for x
    x = 513,367,619.86/26,158
  6. Step 6: Final answer
    x = 19,625.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.