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Finding the Fourth Proportional to 20,702.30, 31,038.26 and 8,216.15

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Solution

The fourth proportional to 20,702.30, 31,038.26 and 8,216.15 is: 12,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.30 : 31,038.26 = 8,216.15 : x
  2. Step 2: Convert to fraction form
    20,702.30/31,038.26 = 8,216.15/x
  3. Step 3: Cross multiply
    20,702.30x = 31,038.26 × 8,216.15
  4. Step 4: Simplify right side
    20,702.30x = 255,014,999.90
  5. Step 5: Solve for x
    x = 255,014,999.90/20,702.30
  6. Step 6: Final answer
    x = 12,318.20

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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.