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Finding the Fourth Proportional to 30,427.64, 41,989.78 and 17,000.20

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Solution

The fourth proportional to 30,427.64, 41,989.78 and 17,000.20 is: 23,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,427.64 : 41,989.78 = 17,000.20 : x
  2. Step 2: Convert to fraction form
    30,427.64/41,989.78 = 17,000.20/x
  3. Step 3: Cross multiply
    30,427.64x = 41,989.78 × 17,000.20
  4. Step 4: Simplify right side
    30,427.64x = 713,834,657.96
  5. Step 5: Solve for x
    x = 713,834,657.96/30,427.64
  6. Step 6: Final answer
    x = 23,460.07

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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.