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Finding the Fourth Proportional to 30,652.64, 42,299.70 and 17,223.56

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Solution

The fourth proportional to 30,652.64, 42,299.70 and 17,223.56 is: 23,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.64 : 42,299.70 = 17,223.56 : x
  2. Step 2: Convert to fraction form
    30,652.64/42,299.70 = 17,223.56/x
  3. Step 3: Cross multiply
    30,652.64x = 42,299.70 × 17,223.56
  4. Step 4: Simplify right side
    30,652.64x = 728,551,420.93
  5. Step 5: Solve for x
    x = 728,551,420.93/30,652.64
  6. Step 6: Final answer
    x = 23,767.98

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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.