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Finding the Fourth Proportional to 20,881.84, 31,316.07 and 6,838.06

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Solution

The fourth proportional to 20,881.84, 31,316.07 and 6,838.06 is: 10,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.84 : 31,316.07 = 6,838.06 : x
  2. Step 2: Convert to fraction form
    20,881.84/31,316.07 = 6,838.06/x
  3. Step 3: Cross multiply
    20,881.84x = 31,316.07 × 6,838.06
  4. Step 4: Simplify right side
    20,881.84x = 214,141,165.62
  5. Step 5: Solve for x
    x = 214,141,165.62/20,881.84
  6. Step 6: Final answer
    x = 10,254.90

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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.