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Finding the Fourth Proportional to 12,354.52, 17,059.06 and 11,409.96

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Solution

The fourth proportional to 12,354.52, 17,059.06 and 11,409.96 is: 15,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.52 : 17,059.06 = 11,409.96 : x
  2. Step 2: Convert to fraction form
    12,354.52/17,059.06 = 11,409.96/x
  3. Step 3: Cross multiply
    12,354.52x = 17,059.06 × 11,409.96
  4. Step 4: Simplify right side
    12,354.52x = 194,643,192.24
  5. Step 5: Solve for x
    x = 194,643,192.24/12,354.52
  6. Step 6: Final answer
    x = 15,754.82

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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.