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Finding the Fourth Proportional to 13,457.78, 18,573.70 and 8,080.58

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Solution

The fourth proportional to 13,457.78, 18,573.70 and 8,080.58 is: 11,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.78 : 18,573.70 = 8,080.58 : x
  2. Step 2: Convert to fraction form
    13,457.78/18,573.70 = 8,080.58/x
  3. Step 3: Cross multiply
    13,457.78x = 18,573.70 × 8,080.58
  4. Step 4: Simplify right side
    13,457.78x = 150,086,268.75
  5. Step 5: Solve for x
    x = 150,086,268.75/13,457.78
  6. Step 6: Final answer
    x = 11,152.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.