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Finding the Fourth Proportional to 30,205.12, 41,680.02 and 17,637.16

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Solution

The fourth proportional to 30,205.12, 41,680.02 and 17,637.16 is: 24,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.12 : 41,680.02 = 17,637.16 : x
  2. Step 2: Convert to fraction form
    30,205.12/41,680.02 = 17,637.16/x
  3. Step 3: Cross multiply
    30,205.12x = 41,680.02 × 17,637.16
  4. Step 4: Simplify right side
    30,205.12x = 735,117,181.54
  5. Step 5: Solve for x
    x = 735,117,181.54/30,205.12
  6. Step 6: Final answer
    x = 24,337.50

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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.