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Finding the Fourth Proportional to 26,231.90, 36,199.10 and 14,295

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Solution

The fourth proportional to 26,231.90, 36,199.10 and 14,295 is: 19,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,231.90 : 36,199.10 = 14,295 : x
  2. Step 2: Convert to fraction form
    26,231.90/36,199.10 = 14,295/x
  3. Step 3: Cross multiply
    26,231.90x = 36,199.10 × 14,295
  4. Step 4: Simplify right side
    26,231.90x = 517,466,134.50
  5. Step 5: Solve for x
    x = 517,466,134.50/26,231.90
  6. Step 6: Final answer
    x = 19,726.60

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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.