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Finding the Fourth Proportional to 21,054, 29,054.06 and 11,493.56

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Solution

The fourth proportional to 21,054, 29,054.06 and 11,493.56 is: 15,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,054 : 29,054.06 = 11,493.56 : x
  2. Step 2: Convert to fraction form
    21,054/29,054.06 = 11,493.56/x
  3. Step 3: Cross multiply
    21,054x = 29,054.06 × 11,493.56
  4. Step 4: Simplify right side
    21,054x = 333,934,581.85
  5. Step 5: Solve for x
    x = 333,934,581.85/21,054
  6. Step 6: Final answer
    x = 15,860.86

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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.