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Finding the Fourth Proportional to 30,736.80, 42,416.16 and 17,307.96

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Solution

The fourth proportional to 30,736.80, 42,416.16 and 17,307.96 is: 23,884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,736.80 : 42,416.16 = 17,307.96 : x
  2. Step 2: Convert to fraction form
    30,736.80/42,416.16 = 17,307.96/x
  3. Step 3: Cross multiply
    30,736.80x = 42,416.16 × 17,307.96
  4. Step 4: Simplify right side
    30,736.80x = 734,137,200.63
  5. Step 5: Solve for x
    x = 734,137,200.63/30,736.80
  6. Step 6: Final answer
    x = 23,884.63

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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.