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Finding the Fourth Proportional to 28,094.32, 42,143.10 and 10,564.30

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Solution

The fourth proportional to 28,094.32, 42,143.10 and 10,564.30 is: 15,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,094.32 : 42,143.10 = 10,564.30 : x
  2. Step 2: Convert to fraction form
    28,094.32/42,143.10 = 10,564.30/x
  3. Step 3: Cross multiply
    28,094.32x = 42,143.10 × 10,564.30
  4. Step 4: Simplify right side
    28,094.32x = 445,212,245.97
  5. Step 5: Solve for x
    x = 445,212,245.97/28,094.32
  6. Step 6: Final answer
    x = 15,847.06

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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.