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Finding the Fourth Proportional to 12,640.06, 18,965 and 5,242.63

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Solution

The fourth proportional to 12,640.06, 18,965 and 5,242.63 is: 7,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.06 : 18,965 = 5,242.63 : x
  2. Step 2: Convert to fraction form
    12,640.06/18,965 = 5,242.63/x
  3. Step 3: Cross multiply
    12,640.06x = 18,965 × 5,242.63
  4. Step 4: Simplify right side
    12,640.06x = 99,426,477.95
  5. Step 5: Solve for x
    x = 99,426,477.95/12,640.06
  6. Step 6: Final answer
    x = 7,865.98

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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.