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Finding the Fourth Proportional to 26,503.36, 36,575.31 and 14,567

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Solution

The fourth proportional to 26,503.36, 36,575.31 and 14,567 is: 20,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,503.36 : 36,575.31 = 14,567 : x
  2. Step 2: Convert to fraction form
    26,503.36/36,575.31 = 14,567/x
  3. Step 3: Cross multiply
    26,503.36x = 36,575.31 × 14,567
  4. Step 4: Simplify right side
    26,503.36x = 532,792,540.77
  5. Step 5: Solve for x
    x = 532,792,540.77/26,503.36
  6. Step 6: Final answer
    x = 20,102.83

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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.