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Finding the Fourth Proportional to 34,722.94, 52,084.74 and 8,427.92

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Solution

The fourth proportional to 34,722.94, 52,084.74 and 8,427.92 is: 12,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,722.94 : 52,084.74 = 8,427.92 : x
  2. Step 2: Convert to fraction form
    34,722.94/52,084.74 = 8,427.92/x
  3. Step 3: Cross multiply
    34,722.94x = 52,084.74 × 8,427.92
  4. Step 4: Simplify right side
    34,722.94x = 438,966,021.94
  5. Step 5: Solve for x
    x = 438,966,021.94/34,722.94
  6. Step 6: Final answer
    x = 12,641.96

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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.