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Finding the Fourth Proportional to 14,080.99, 19,414.11 and 9,036.31

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Solution

The fourth proportional to 14,080.99, 19,414.11 and 9,036.31 is: 12,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.99 : 19,414.11 = 9,036.31 : x
  2. Step 2: Convert to fraction form
    14,080.99/19,414.11 = 9,036.31/x
  3. Step 3: Cross multiply
    14,080.99x = 19,414.11 × 9,036.31
  4. Step 4: Simplify right side
    14,080.99x = 175,431,916.33
  5. Step 5: Solve for x
    x = 175,431,916.33/14,080.99
  6. Step 6: Final answer
    x = 12,458.78

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1.5x scale

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.