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Finding the Fourth Proportional to 11,921.94, 17,863.47 and 6,070.50

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Solution

The fourth proportional to 11,921.94, 17,863.47 and 6,070.50 is: 9,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.94 : 17,863.47 = 6,070.50 : x
  2. Step 2: Convert to fraction form
    11,921.94/17,863.47 = 6,070.50/x
  3. Step 3: Cross multiply
    11,921.94x = 17,863.47 × 6,070.50
  4. Step 4: Simplify right side
    11,921.94x = 108,440,194.64
  5. Step 5: Solve for x
    x = 108,440,194.64/11,921.94
  6. Step 6: Final answer
    x = 9,095.85

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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.