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Finding the Fourth Proportional to 20,943.74, 31,408.95 and 6,901.15

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Solution

The fourth proportional to 20,943.74, 31,408.95 and 6,901.15 is: 10,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,943.74 : 31,408.95 = 6,901.15 : x
  2. Step 2: Convert to fraction form
    20,943.74/31,408.95 = 6,901.15/x
  3. Step 3: Cross multiply
    20,943.74x = 31,408.95 × 6,901.15
  4. Step 4: Simplify right side
    20,943.74x = 216,757,828.17
  5. Step 5: Solve for x
    x = 216,757,828.17/20,943.74
  6. Step 6: Final answer
    x = 10,349.53

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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.