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Finding the Fourth Proportional to 26,415.50, 36,454.30 and 14,478.82

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Solution

The fourth proportional to 26,415.50, 36,454.30 and 14,478.82 is: 19,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,415.50 : 36,454.30 = 14,478.82 : x
  2. Step 2: Convert to fraction form
    26,415.50/36,454.30 = 14,478.82/x
  3. Step 3: Cross multiply
    26,415.50x = 36,454.30 × 14,478.82
  4. Step 4: Simplify right side
    26,415.50x = 527,815,120.59
  5. Step 5: Solve for x
    x = 527,815,120.59/26,415.50
  6. Step 6: Final answer
    x = 19,981.27

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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.