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Finding the Fourth Proportional to 13,836.48, 20,653.68 and 12,000.48

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Solution

The fourth proportional to 13,836.48, 20,653.68 and 12,000.48 is: 17,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.48 : 20,653.68 = 12,000.48 : x
  2. Step 2: Convert to fraction form
    13,836.48/20,653.68 = 12,000.48/x
  3. Step 3: Cross multiply
    13,836.48x = 20,653.68 × 12,000.48
  4. Step 4: Simplify right side
    13,836.48x = 247,854,073.77
  5. Step 5: Solve for x
    x = 247,854,073.77/13,836.48
  6. Step 6: Final answer
    x = 17,913.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.