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Finding the Fourth Proportional to 30,858.21, 42,584.31 and 16,711.02

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Solution

The fourth proportional to 30,858.21, 42,584.31 and 16,711.02 is: 23,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.21 : 42,584.31 = 16,711.02 : x
  2. Step 2: Convert to fraction form
    30,858.21/42,584.31 = 16,711.02/x
  3. Step 3: Cross multiply
    30,858.21x = 42,584.31 × 16,711.02
  4. Step 4: Simplify right side
    30,858.21x = 711,627,256.10
  5. Step 5: Solve for x
    x = 711,627,256.10/30,858.21
  6. Step 6: Final answer
    x = 23,061.20

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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.