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Finding the Fourth Proportional to 18,647.56, 25,733.64 and 10,264

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Solution

The fourth proportional to 18,647.56, 25,733.64 and 10,264 is: 14,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.56 : 25,733.64 = 10,264 : x
  2. Step 2: Convert to fraction form
    18,647.56/25,733.64 = 10,264/x
  3. Step 3: Cross multiply
    18,647.56x = 25,733.64 × 10,264
  4. Step 4: Simplify right side
    18,647.56x = 264,130,080.96
  5. Step 5: Solve for x
    x = 264,130,080.96/18,647.56
  6. Step 6: Final answer
    x = 14,164.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.