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Finding the Fourth Proportional to 13,424.40, 18,524.52 and 7,835.76

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Solution

The fourth proportional to 13,424.40, 18,524.52 and 7,835.76 is: 10,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.40 : 18,524.52 = 7,835.76 : x
  2. Step 2: Convert to fraction form
    13,424.40/18,524.52 = 7,835.76/x
  3. Step 3: Cross multiply
    13,424.40x = 18,524.52 × 7,835.76
  4. Step 4: Simplify right side
    13,424.40x = 145,153,692.84
  5. Step 5: Solve for x
    x = 145,153,692.84/13,424.40
  6. Step 6: Final answer
    x = 10,812.68

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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.