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Finding the Fourth Proportional to 23,126.86, 34,692.63 and 6,486.94

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Solution

The fourth proportional to 23,126.86, 34,692.63 and 6,486.94 is: 9,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,126.86 : 34,692.63 = 6,486.94 : x
  2. Step 2: Convert to fraction form
    23,126.86/34,692.63 = 6,486.94/x
  3. Step 3: Cross multiply
    23,126.86x = 34,692.63 × 6,486.94
  4. Step 4: Simplify right side
    23,126.86x = 225,049,009.25
  5. Step 5: Solve for x
    x = 225,049,009.25/23,126.86
  6. Step 6: Final answer
    x = 9,731.07

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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.