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Finding the Fourth Proportional to 12,048.31, 17,940.17 and 11,916.01

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Solution

The fourth proportional to 12,048.31, 17,940.17 and 11,916.01 is: 17,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.31 : 17,940.17 = 11,916.01 : x
  2. Step 2: Convert to fraction form
    12,048.31/17,940.17 = 11,916.01/x
  3. Step 3: Cross multiply
    12,048.31x = 17,940.17 × 11,916.01
  4. Step 4: Simplify right side
    12,048.31x = 213,775,245.12
  5. Step 5: Solve for x
    x = 213,775,245.12/12,048.31
  6. Step 6: Final answer
    x = 17,743.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.