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Finding the Fourth Proportional to 13,762.40, 20,634.36 and 6,356.84

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Solution

The fourth proportional to 13,762.40, 20,634.36 and 6,356.84 is: 9,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.40 : 20,634.36 = 6,356.84 : x
  2. Step 2: Convert to fraction form
    13,762.40/20,634.36 = 6,356.84/x
  3. Step 3: Cross multiply
    13,762.40x = 20,634.36 × 6,356.84
  4. Step 4: Simplify right side
    13,762.40x = 131,169,325.02
  5. Step 5: Solve for x
    x = 131,169,325.02/13,762.40
  6. Step 6: Final answer
    x = 9,530.99

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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.