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Finding the Fourth Proportional to 13,820.48, 20,713.36 and 5,913.68

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Solution

The fourth proportional to 13,820.48, 20,713.36 and 5,913.68 is: 8,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.48 : 20,713.36 = 5,913.68 : x
  2. Step 2: Convert to fraction form
    13,820.48/20,713.36 = 5,913.68/x
  3. Step 3: Cross multiply
    13,820.48x = 20,713.36 × 5,913.68
  4. Step 4: Simplify right side
    13,820.48x = 122,492,182.76
  5. Step 5: Solve for x
    x = 122,492,182.76/13,820.48
  6. Step 6: Final answer
    x = 8,863.09

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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.