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Finding the Fourth Proportional to 18,564.76, 25,619.34 and 10,181.24

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Solution

The fourth proportional to 18,564.76, 25,619.34 and 10,181.24 is: 14,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.76 : 25,619.34 = 10,181.24 : x
  2. Step 2: Convert to fraction form
    18,564.76/25,619.34 = 10,181.24/x
  3. Step 3: Cross multiply
    18,564.76x = 25,619.34 × 10,181.24
  4. Step 4: Simplify right side
    18,564.76x = 260,836,649.18
  5. Step 5: Solve for x
    x = 260,836,649.18/18,564.76
  6. Step 6: Final answer
    x = 14,050.10

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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.