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Finding the Fourth Proportional to 11,362.46, 17,021 and 9,026.42

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Solution

The fourth proportional to 11,362.46, 17,021 and 9,026.42 is: 13,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.46 : 17,021 = 9,026.42 : x
  2. Step 2: Convert to fraction form
    11,362.46/17,021 = 9,026.42/x
  3. Step 3: Cross multiply
    11,362.46x = 17,021 × 9,026.42
  4. Step 4: Simplify right side
    11,362.46x = 153,638,694.82
  5. Step 5: Solve for x
    x = 153,638,694.82/11,362.46
  6. Step 6: Final answer
    x = 13,521.60

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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.