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Finding the Fourth Proportional to 30,182.64, 41,657 and 17,607.36

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Solution

The fourth proportional to 30,182.64, 41,657 and 17,607.36 is: 24,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.64 : 41,657 = 17,607.36 : x
  2. Step 2: Convert to fraction form
    30,182.64/41,657 = 17,607.36/x
  3. Step 3: Cross multiply
    30,182.64x = 41,657 × 17,607.36
  4. Step 4: Simplify right side
    30,182.64x = 733,469,795.52
  5. Step 5: Solve for x
    x = 733,469,795.52/30,182.64
  6. Step 6: Final answer
    x = 24,301.05

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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.