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Finding the Fourth Proportional to 30,820.80, 46,203.04 and 11,094.84

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Solution

The fourth proportional to 30,820.80, 46,203.04 and 11,094.84 is: 16,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.80 : 46,203.04 = 11,094.84 : x
  2. Step 2: Convert to fraction form
    30,820.80/46,203.04 = 11,094.84/x
  3. Step 3: Cross multiply
    30,820.80x = 46,203.04 × 11,094.84
  4. Step 4: Simplify right side
    30,820.80x = 512,615,336.31
  5. Step 5: Solve for x
    x = 512,615,336.31/30,820.80
  6. Step 6: Final answer
    x = 16,632.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.