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Finding the Fourth Proportional to 13,709.31, 20,564.03 and 4,937.95

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Solution

The fourth proportional to 13,709.31, 20,564.03 and 4,937.95 is: 7,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.31 : 20,564.03 = 4,937.95 : x
  2. Step 2: Convert to fraction form
    13,709.31/20,564.03 = 4,937.95/x
  3. Step 3: Cross multiply
    13,709.31x = 20,564.03 × 4,937.95
  4. Step 4: Simplify right side
    13,709.31x = 101,544,151.94
  5. Step 5: Solve for x
    x = 101,544,151.94/13,709.31
  6. Step 6: Final answer
    x = 7,406.95

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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.