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Finding the Fourth Proportional to 26,440.61, 39,657 and 7,715.63

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Solution

The fourth proportional to 26,440.61, 39,657 and 7,715.63 is: 11,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,440.61 : 39,657 = 7,715.63 : x
  2. Step 2: Convert to fraction form
    26,440.61/39,657 = 7,715.63/x
  3. Step 3: Cross multiply
    26,440.61x = 39,657 × 7,715.63
  4. Step 4: Simplify right side
    26,440.61x = 305,978,540.63
  5. Step 5: Solve for x
    x = 305,978,540.63/26,440.61
  6. Step 6: Final answer
    x = 11,572.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.