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Finding the Fourth Proportional to 21,000.76, 31,501.74 and 7,850.60

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Solution

The fourth proportional to 21,000.76, 31,501.74 and 7,850.60 is: 11,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.76 : 31,501.74 = 7,850.60 : x
  2. Step 2: Convert to fraction form
    21,000.76/31,501.74 = 7,850.60/x
  3. Step 3: Cross multiply
    21,000.76x = 31,501.74 × 7,850.60
  4. Step 4: Simplify right side
    21,000.76x = 247,307,560.04
  5. Step 5: Solve for x
    x = 247,307,560.04/21,000.76
  6. Step 6: Final answer
    x = 11,776.12

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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.