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Finding the Fourth Proportional to 13,785.74, 20,678.47 and 3,397.49

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Solution

The fourth proportional to 13,785.74, 20,678.47 and 3,397.49 is: 5,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.74 : 20,678.47 = 3,397.49 : x
  2. Step 2: Convert to fraction form
    13,785.74/20,678.47 = 3,397.49/x
  3. Step 3: Cross multiply
    13,785.74x = 20,678.47 × 3,397.49
  4. Step 4: Simplify right side
    13,785.74x = 70,254,895.04
  5. Step 5: Solve for x
    x = 70,254,895.04/13,785.74
  6. Step 6: Final answer
    x = 5,096.20

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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.