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Finding the Fourth Proportional to 15,702.12, 23,525.46 and 8,290.26

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Solution

The fourth proportional to 15,702.12, 23,525.46 and 8,290.26 is: 12,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.12 : 23,525.46 = 8,290.26 : x
  2. Step 2: Convert to fraction form
    15,702.12/23,525.46 = 8,290.26/x
  3. Step 3: Cross multiply
    15,702.12x = 23,525.46 × 8,290.26
  4. Step 4: Simplify right side
    15,702.12x = 195,032,180.02
  5. Step 5: Solve for x
    x = 195,032,180.02/15,702.12
  6. Step 6: Final answer
    x = 12,420.75

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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.