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Finding the Fourth Proportional to 30,683.90, 42,340.71 and 17,253.02

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Solution

The fourth proportional to 30,683.90, 42,340.71 and 17,253.02 is: 23,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.90 : 42,340.71 = 17,253.02 : x
  2. Step 2: Convert to fraction form
    30,683.90/42,340.71 = 17,253.02/x
  3. Step 3: Cross multiply
    30,683.90x = 42,340.71 × 17,253.02
  4. Step 4: Simplify right side
    30,683.90x = 730,505,116.44
  5. Step 5: Solve for x
    x = 730,505,116.44/30,683.90
  6. Step 6: Final answer
    x = 23,807.44

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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.