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Finding the Fourth Proportional to 17,106.16, 25,667.34 and 11,849.26

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Solution

The fourth proportional to 17,106.16, 25,667.34 and 11,849.26 is: 17,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106.16 : 25,667.34 = 11,849.26 : x
  2. Step 2: Convert to fraction form
    17,106.16/25,667.34 = 11,849.26/x
  3. Step 3: Cross multiply
    17,106.16x = 25,667.34 × 11,849.26
  4. Step 4: Simplify right side
    17,106.16x = 304,138,985.17
  5. Step 5: Solve for x
    x = 304,138,985.17/17,106.16
  6. Step 6: Final answer
    x = 17,779.50

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Why These Related Problems?

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