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Finding the Fourth Proportional to 13,851.59, 20,772.14 and 4,964.51

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Solution

The fourth proportional to 13,851.59, 20,772.14 and 4,964.51 is: 7,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.59 : 20,772.14 = 4,964.51 : x
  2. Step 2: Convert to fraction form
    13,851.59/20,772.14 = 4,964.51/x
  3. Step 3: Cross multiply
    13,851.59x = 20,772.14 × 4,964.51
  4. Step 4: Simplify right side
    13,851.59x = 103,123,523.86
  5. Step 5: Solve for x
    x = 103,123,523.86/13,851.59
  6. Step 6: Final answer
    x = 7,444.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.