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Finding the Fourth Proportional to 21,157.37, 31,702.67 and 7,812.00

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Solution

The fourth proportional to 21,157.37, 31,702.67 and 7,812.00 is: 11,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.37 : 31,702.67 = 7,812.00 : x
  2. Step 2: Convert to fraction form
    21,157.37/31,702.67 = 7,812.00/x
  3. Step 3: Cross multiply
    21,157.37x = 31,702.67 × 7,812.00
  4. Step 4: Simplify right side
    21,157.37x = 247,661,099.53
  5. Step 5: Solve for x
    x = 247,661,099.53/21,157.37
  6. Step 6: Final answer
    x = 11,705.67

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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.