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Finding the Fourth Proportional to 30,634, 42,274.96 and 17,386

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Solution

The fourth proportional to 30,634, 42,274.96 and 17,386 is: 23,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,634 : 42,274.96 = 17,386 : x
  2. Step 2: Convert to fraction form
    30,634/42,274.96 = 17,386/x
  3. Step 3: Cross multiply
    30,634x = 42,274.96 × 17,386
  4. Step 4: Simplify right side
    30,634x = 734,992,454.56
  5. Step 5: Solve for x
    x = 734,992,454.56/30,634
  6. Step 6: Final answer
    x = 23,992.70

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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.