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Finding the Fourth Proportional to 30,225.64, 41,711.62 and 16,798.14

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Solution

The fourth proportional to 30,225.64, 41,711.62 and 16,798.14 is: 23,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.64 : 41,711.62 = 16,798.14 : x
  2. Step 2: Convert to fraction form
    30,225.64/41,711.62 = 16,798.14/x
  3. Step 3: Cross multiply
    30,225.64x = 41,711.62 × 16,798.14
  4. Step 4: Simplify right side
    30,225.64x = 700,677,632.39
  5. Step 5: Solve for x
    x = 700,677,632.39/30,225.64
  6. Step 6: Final answer
    x = 23,181.56

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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.