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Finding the Fourth Proportional to 20,838.74, 31,261.35 and 6,984.50

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Solution

The fourth proportional to 20,838.74, 31,261.35 and 6,984.50 is: 10,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.74 : 31,261.35 = 6,984.50 : x
  2. Step 2: Convert to fraction form
    20,838.74/31,261.35 = 6,984.50/x
  3. Step 3: Cross multiply
    20,838.74x = 31,261.35 × 6,984.50
  4. Step 4: Simplify right side
    20,838.74x = 218,344,899.08
  5. Step 5: Solve for x
    x = 218,344,899.08/20,838.74
  6. Step 6: Final answer
    x = 10,477.84

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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.