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Finding the Fourth Proportional to 13,573.81, 20,365.71 and 4,690

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Solution

The fourth proportional to 13,573.81, 20,365.71 and 4,690 is: 7,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.81 : 20,365.71 = 4,690 : x
  2. Step 2: Convert to fraction form
    13,573.81/20,365.71 = 4,690/x
  3. Step 3: Cross multiply
    13,573.81x = 20,365.71 × 4,690
  4. Step 4: Simplify right side
    13,573.81x = 95,515,179.90
  5. Step 5: Solve for x
    x = 95,515,179.90/13,573.81
  6. Step 6: Final answer
    x = 7,036.73

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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.