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Finding the Fourth Proportional to 15,805.02, 23,702.67 and 8,405.40

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Solution

The fourth proportional to 15,805.02, 23,702.67 and 8,405.40 is: 12,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.02 : 23,702.67 = 8,405.40 : x
  2. Step 2: Convert to fraction form
    15,805.02/23,702.67 = 8,405.40/x
  3. Step 3: Cross multiply
    15,805.02x = 23,702.67 × 8,405.40
  4. Step 4: Simplify right side
    15,805.02x = 199,230,422.42
  5. Step 5: Solve for x
    x = 199,230,422.42/15,805.02
  6. Step 6: Final answer
    x = 12,605.52

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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.