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Finding the Fourth Proportional to 30,889.64, 42,625.14 and 17,460.20

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Solution

The fourth proportional to 30,889.64, 42,625.14 and 17,460.20 is: 24,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.64 : 42,625.14 = 17,460.20 : x
  2. Step 2: Convert to fraction form
    30,889.64/42,625.14 = 17,460.20/x
  3. Step 3: Cross multiply
    30,889.64x = 42,625.14 × 17,460.20
  4. Step 4: Simplify right side
    30,889.64x = 744,243,469.43
  5. Step 5: Solve for x
    x = 744,243,469.43/30,889.64
  6. Step 6: Final answer
    x = 24,093.63

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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.