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Finding the Fourth Proportional to 26,577.42, 36,675.50 and 14,640.50

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Solution

The fourth proportional to 26,577.42, 36,675.50 and 14,640.50 is: 20,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,577.42 : 36,675.50 = 14,640.50 : x
  2. Step 2: Convert to fraction form
    26,577.42/36,675.50 = 14,640.50/x
  3. Step 3: Cross multiply
    26,577.42x = 36,675.50 × 14,640.50
  4. Step 4: Simplify right side
    26,577.42x = 536,947,657.75
  5. Step 5: Solve for x
    x = 536,947,657.75/26,577.42
  6. Step 6: Final answer
    x = 20,203.15

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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.