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Finding the Fourth Proportional to 14,122.77, 19,489.01 and 7,748.61

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Solution

The fourth proportional to 14,122.77, 19,489.01 and 7,748.61 is: 10,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.77 : 19,489.01 = 7,748.61 : x
  2. Step 2: Convert to fraction form
    14,122.77/19,489.01 = 7,748.61/x
  3. Step 3: Cross multiply
    14,122.77x = 19,489.01 × 7,748.61
  4. Step 4: Simplify right side
    14,122.77x = 151,012,737.78
  5. Step 5: Solve for x
    x = 151,012,737.78/14,122.77
  6. Step 6: Final answer
    x = 10,692.86

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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.