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Finding the Fourth Proportional to 12,354.71, 18,535.53 and 4,964.36

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Solution

The fourth proportional to 12,354.71, 18,535.53 and 4,964.36 is: 7,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.71 : 18,535.53 = 4,964.36 : x
  2. Step 2: Convert to fraction form
    12,354.71/18,535.53 = 4,964.36/x
  3. Step 3: Cross multiply
    12,354.71x = 18,535.53 × 4,964.36
  4. Step 4: Simplify right side
    12,354.71x = 92,016,951.03
  5. Step 5: Solve for x
    x = 92,016,951.03/12,354.71
  6. Step 6: Final answer
    x = 7,447.93

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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.