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Finding the Fourth Proportional to 26,102.16, 36,021.01 and 14,165.50

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Solution

The fourth proportional to 26,102.16, 36,021.01 and 14,165.50 is: 19,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102.16 : 36,021.01 = 14,165.50 : x
  2. Step 2: Convert to fraction form
    26,102.16/36,021.01 = 14,165.50/x
  3. Step 3: Cross multiply
    26,102.16x = 36,021.01 × 14,165.50
  4. Step 4: Simplify right side
    26,102.16x = 510,255,617.16
  5. Step 5: Solve for x
    x = 510,255,617.16/26,102.16
  6. Step 6: Final answer
    x = 19,548.41

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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.