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Finding the Fourth Proportional to 30,272.32, 41,776 and 16,844.14

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Solution

The fourth proportional to 30,272.32, 41,776 and 16,844.14 is: 23,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,272.32 : 41,776 = 16,844.14 : x
  2. Step 2: Convert to fraction form
    30,272.32/41,776 = 16,844.14/x
  3. Step 3: Cross multiply
    30,272.32x = 41,776 × 16,844.14
  4. Step 4: Simplify right side
    30,272.32x = 703,680,583.76
  5. Step 5: Solve for x
    x = 703,680,583.76/30,272.32
  6. Step 6: Final answer
    x = 23,245.02

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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.