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Finding the Fourth Proportional to 20,970.54, 31,466.75 and 8,499.78

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Solution

The fourth proportional to 20,970.54, 31,466.75 and 8,499.78 is: 12,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.54 : 31,466.75 = 8,499.78 : x
  2. Step 2: Convert to fraction form
    20,970.54/31,466.75 = 8,499.78/x
  3. Step 3: Cross multiply
    20,970.54x = 31,466.75 × 8,499.78
  4. Step 4: Simplify right side
    20,970.54x = 267,460,409.82
  5. Step 5: Solve for x
    x = 267,460,409.82/20,970.54
  6. Step 6: Final answer
    x = 12,754.10

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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.