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Finding the Fourth Proportional to 15,812.24, 23,733 and 8,026.64

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Solution

The fourth proportional to 15,812.24, 23,733 and 8,026.64 is: 12,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.24 : 23,733 = 8,026.64 : x
  2. Step 2: Convert to fraction form
    15,812.24/23,733 = 8,026.64/x
  3. Step 3: Cross multiply
    15,812.24x = 23,733 × 8,026.64
  4. Step 4: Simplify right side
    15,812.24x = 190,496,247.12
  5. Step 5: Solve for x
    x = 190,496,247.12/15,812.24
  6. Step 6: Final answer
    x = 12,047.39

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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.