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Finding the Fourth Proportional to 30,588.84, 42,213.04 and 17,841.66

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Solution

The fourth proportional to 30,588.84, 42,213.04 and 17,841.66 is: 24,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.84 : 42,213.04 = 17,841.66 : x
  2. Step 2: Convert to fraction form
    30,588.84/42,213.04 = 17,841.66/x
  3. Step 3: Cross multiply
    30,588.84x = 42,213.04 × 17,841.66
  4. Step 4: Simplify right side
    30,588.84x = 753,150,707.25
  5. Step 5: Solve for x
    x = 753,150,707.25/30,588.84
  6. Step 6: Final answer
    x = 24,621.75

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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.