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Finding the Fourth Proportional to 20,702.52, 31,061.06 and 9,014.20

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Solution

The fourth proportional to 20,702.52, 31,061.06 and 9,014.20 is: 13,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.52 : 31,061.06 = 9,014.20 : x
  2. Step 2: Convert to fraction form
    20,702.52/31,061.06 = 9,014.20/x
  3. Step 3: Cross multiply
    20,702.52x = 31,061.06 × 9,014.20
  4. Step 4: Simplify right side
    20,702.52x = 279,990,607.05
  5. Step 5: Solve for x
    x = 279,990,607.05/20,702.52
  6. Step 6: Final answer
    x = 13,524.47

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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.