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Finding the Fourth Proportional to 30,821.95, 42,533.59 and 17,392.86

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Solution

The fourth proportional to 30,821.95, 42,533.59 and 17,392.86 is: 24,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.95 : 42,533.59 = 17,392.86 : x
  2. Step 2: Convert to fraction form
    30,821.95/42,533.59 = 17,392.86/x
  3. Step 3: Cross multiply
    30,821.95x = 42,533.59 × 17,392.86
  4. Step 4: Simplify right side
    30,821.95x = 739,780,776.17
  5. Step 5: Solve for x
    x = 739,780,776.17/30,821.95
  6. Step 6: Final answer
    x = 24,001.75

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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.