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Finding the Fourth Proportional to 20,937.76, 31,399.89 and 6,894.45

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Solution

The fourth proportional to 20,937.76, 31,399.89 and 6,894.45 is: 10,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937.76 : 31,399.89 = 6,894.45 : x
  2. Step 2: Convert to fraction form
    20,937.76/31,399.89 = 6,894.45/x
  3. Step 3: Cross multiply
    20,937.76x = 31,399.89 × 6,894.45
  4. Step 4: Simplify right side
    20,937.76x = 216,484,886.88
  5. Step 5: Solve for x
    x = 216,484,886.88/20,937.76
  6. Step 6: Final answer
    x = 10,339.45

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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.