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Finding the Fourth Proportional to 30,821.68, 42,532.86 and 17,393.32

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Solution

The fourth proportional to 30,821.68, 42,532.86 and 17,393.32 is: 24,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.68 : 42,532.86 = 17,393.32 : x
  2. Step 2: Convert to fraction form
    30,821.68/42,532.86 = 17,393.32/x
  3. Step 3: Cross multiply
    30,821.68x = 42,532.86 × 17,393.32
  4. Step 4: Simplify right side
    30,821.68x = 739,787,644.50
  5. Step 5: Solve for x
    x = 739,787,644.50/30,821.68
  6. Step 6: Final answer
    x = 24,002.18

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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.