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Finding the Fourth Proportional to 26,098, 36,015.28 and 14,920.24

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Solution

The fourth proportional to 26,098, 36,015.28 and 14,920.24 is: 20,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,098 : 36,015.28 = 14,920.24 : x
  2. Step 2: Convert to fraction form
    26,098/36,015.28 = 14,920.24/x
  3. Step 3: Cross multiply
    26,098x = 36,015.28 × 14,920.24
  4. Step 4: Simplify right side
    26,098x = 537,356,621.27
  5. Step 5: Solve for x
    x = 537,356,621.27/26,098
  6. Step 6: Final answer
    x = 20,589.95

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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.