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Finding the Fourth Proportional to 26,188.62, 36,139.70 and 14,252

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Solution

The fourth proportional to 26,188.62, 36,139.70 and 14,252 is: 19,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,188.62 : 36,139.70 = 14,252 : x
  2. Step 2: Convert to fraction form
    26,188.62/36,139.70 = 14,252/x
  3. Step 3: Cross multiply
    26,188.62x = 36,139.70 × 14,252
  4. Step 4: Simplify right side
    26,188.62x = 515,063,004.40
  5. Step 5: Solve for x
    x = 515,063,004.40/26,188.62
  6. Step 6: Final answer
    x = 19,667.44

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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.