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Finding the Fourth Proportional to 30,702.57, 42,367.80 and 17,274.39

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Solution

The fourth proportional to 30,702.57, 42,367.80 and 17,274.39 is: 23,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.57 : 42,367.80 = 17,274.39 : x
  2. Step 2: Convert to fraction form
    30,702.57/42,367.80 = 17,274.39/x
  3. Step 3: Cross multiply
    30,702.57x = 42,367.80 × 17,274.39
  4. Step 4: Simplify right side
    30,702.57x = 731,877,900.64
  5. Step 5: Solve for x
    x = 731,877,900.64/30,702.57
  6. Step 6: Final answer
    x = 23,837.68

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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.