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Finding the Fourth Proportional to 26,597.90, 36,705.11 and 14,661.50

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Solution

The fourth proportional to 26,597.90, 36,705.11 and 14,661.50 is: 20,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,597.90 : 36,705.11 = 14,661.50 : x
  2. Step 2: Convert to fraction form
    26,597.90/36,705.11 = 14,661.50/x
  3. Step 3: Cross multiply
    26,597.90x = 36,705.11 × 14,661.50
  4. Step 4: Simplify right side
    26,597.90x = 538,151,713.43
  5. Step 5: Solve for x
    x = 538,151,713.43/26,597.90
  6. Step 6: Final answer
    x = 20,232.87

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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.