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Finding the Fourth Proportional to 30,666.24, 42,319.20 and 17,418.24

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Solution

The fourth proportional to 30,666.24, 42,319.20 and 17,418.24 is: 24,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.24 : 42,319.20 = 17,418.24 : x
  2. Step 2: Convert to fraction form
    30,666.24/42,319.20 = 17,418.24/x
  3. Step 3: Cross multiply
    30,666.24x = 42,319.20 × 17,418.24
  4. Step 4: Simplify right side
    30,666.24x = 737,125,982.21
  5. Step 5: Solve for x
    x = 737,125,982.21/30,666.24
  6. Step 6: Final answer
    x = 24,037.05

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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.