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Finding the Fourth Proportional to 21,113.40, 31,702.12 and 16,766.16

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Solution

The fourth proportional to 21,113.40, 31,702.12 and 16,766.16 is: 25,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.40 : 31,702.12 = 16,766.16 : x
  2. Step 2: Convert to fraction form
    21,113.40/31,702.12 = 16,766.16/x
  3. Step 3: Cross multiply
    21,113.40x = 31,702.12 × 16,766.16
  4. Step 4: Simplify right side
    21,113.40x = 531,522,816.26
  5. Step 5: Solve for x
    x = 531,522,816.26/21,113.40
  6. Step 6: Final answer
    x = 25,174.67

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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.