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Finding the Fourth Proportional to 26,101.17, 36,019.35 and 14,164.20

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Solution

The fourth proportional to 26,101.17, 36,019.35 and 14,164.20 is: 19,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,101.17 : 36,019.35 = 14,164.20 : x
  2. Step 2: Convert to fraction form
    26,101.17/36,019.35 = 14,164.20/x
  3. Step 3: Cross multiply
    26,101.17x = 36,019.35 × 14,164.20
  4. Step 4: Simplify right side
    26,101.17x = 510,185,277.27
  5. Step 5: Solve for x
    x = 510,185,277.27/26,101.17
  6. Step 6: Final answer
    x = 19,546.45

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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.