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Finding the Fourth Proportional to 13,520, 20,280.02 and 9,845.62

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Solution

The fourth proportional to 13,520, 20,280.02 and 9,845.62 is: 14,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520 : 20,280.02 = 9,845.62 : x
  2. Step 2: Convert to fraction form
    13,520/20,280.02 = 9,845.62/x
  3. Step 3: Cross multiply
    13,520x = 20,280.02 × 9,845.62
  4. Step 4: Simplify right side
    13,520x = 199,669,370.51
  5. Step 5: Solve for x
    x = 199,669,370.51/13,520
  6. Step 6: Final answer
    x = 14,768.44

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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.