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Finding the Fourth Proportional to 30,683.62, 42,343.12 and 17,254.59

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Solution

The fourth proportional to 30,683.62, 42,343.12 and 17,254.59 is: 23,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.62 : 42,343.12 = 17,254.59 : x
  2. Step 2: Convert to fraction form
    30,683.62/42,343.12 = 17,254.59/x
  3. Step 3: Cross multiply
    30,683.62x = 42,343.12 × 17,254.59
  4. Step 4: Simplify right side
    30,683.62x = 730,612,963.21
  5. Step 5: Solve for x
    x = 730,612,963.21/30,683.62
  6. Step 6: Final answer
    x = 23,811.18

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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.