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Finding the Fourth Proportional to 20,948.49, 31,416.06 and 6,905.90

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Solution

The fourth proportional to 20,948.49, 31,416.06 and 6,905.90 is: 10,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,948.49 : 31,416.06 = 6,905.90 : x
  2. Step 2: Convert to fraction form
    20,948.49/31,416.06 = 6,905.90/x
  3. Step 3: Cross multiply
    20,948.49x = 31,416.06 × 6,905.90
  4. Step 4: Simplify right side
    20,948.49x = 216,956,168.75
  5. Step 5: Solve for x
    x = 216,956,168.75/20,948.49
  6. Step 6: Final answer
    x = 10,356.65

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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.