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Finding the Fourth Proportional to 30,876.96, 42,604.59 and 17,265.24

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Solution

The fourth proportional to 30,876.96, 42,604.59 and 17,265.24 is: 23,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.96 : 42,604.59 = 17,265.24 : x
  2. Step 2: Convert to fraction form
    30,876.96/42,604.59 = 17,265.24/x
  3. Step 3: Cross multiply
    30,876.96x = 42,604.59 × 17,265.24
  4. Step 4: Simplify right side
    30,876.96x = 735,578,534.80
  5. Step 5: Solve for x
    x = 735,578,534.80/30,876.96
  6. Step 6: Final answer
    x = 23,822.90

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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.