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Finding the Fourth Proportional to 15,702.30, 23,514.57 and 8,762.22

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Solution

The fourth proportional to 15,702.30, 23,514.57 and 8,762.22 is: 13,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.30 : 23,514.57 = 8,762.22 : x
  2. Step 2: Convert to fraction form
    15,702.30/23,514.57 = 8,762.22/x
  3. Step 3: Cross multiply
    15,702.30x = 23,514.57 × 8,762.22
  4. Step 4: Simplify right side
    15,702.30x = 206,039,835.55
  5. Step 5: Solve for x
    x = 206,039,835.55/15,702.30
  6. Step 6: Final answer
    x = 13,121.63

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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.