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Finding the Fourth Proportional to 30,869.31, 42,599.87 and 16,722.17

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Solution

The fourth proportional to 30,869.31, 42,599.87 and 16,722.17 is: 23,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869.31 : 42,599.87 = 16,722.17 : x
  2. Step 2: Convert to fraction form
    30,869.31/42,599.87 = 16,722.17/x
  3. Step 3: Cross multiply
    30,869.31x = 42,599.87 × 16,722.17
  4. Step 4: Simplify right side
    30,869.31x = 712,361,971.51
  5. Step 5: Solve for x
    x = 712,361,971.51/30,869.31
  6. Step 6: Final answer
    x = 23,076.71

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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.