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Finding the Fourth Proportional to 21,006.36, 31,492.53 and 7,856.82

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Solution

The fourth proportional to 21,006.36, 31,492.53 and 7,856.82 is: 11,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.36 : 31,492.53 = 7,856.82 : x
  2. Step 2: Convert to fraction form
    21,006.36/31,492.53 = 7,856.82/x
  3. Step 3: Cross multiply
    21,006.36x = 31,492.53 × 7,856.82
  4. Step 4: Simplify right side
    21,006.36x = 247,431,139.55
  5. Step 5: Solve for x
    x = 247,431,139.55/21,006.36
  6. Step 6: Final answer
    x = 11,778.87

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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.