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Finding the Fourth Proportional to 20,962.94, 31,437.72 and 6,920.34

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Solution

The fourth proportional to 20,962.94, 31,437.72 and 6,920.34 is: 10,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,962.94 : 31,437.72 = 6,920.34 : x
  2. Step 2: Convert to fraction form
    20,962.94/31,437.72 = 6,920.34/x
  3. Step 3: Cross multiply
    20,962.94x = 31,437.72 × 6,920.34
  4. Step 4: Simplify right side
    20,962.94x = 217,559,711.22
  5. Step 5: Solve for x
    x = 217,559,711.22/20,962.94
  6. Step 6: Final answer
    x = 10,378.30

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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.