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Finding the Fourth Proportional to 26,098.95, 36,016.50 and 14,162.28

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Solution

The fourth proportional to 26,098.95, 36,016.50 and 14,162.28 is: 19,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,098.95 : 36,016.50 = 14,162.28 : x
  2. Step 2: Convert to fraction form
    26,098.95/36,016.50 = 14,162.28/x
  3. Step 3: Cross multiply
    26,098.95x = 36,016.50 × 14,162.28
  4. Step 4: Simplify right side
    26,098.95x = 510,075,757.62
  5. Step 5: Solve for x
    x = 510,075,757.62/26,098.95
  6. Step 6: Final answer
    x = 19,543.92

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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.