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Finding the Fourth Proportional to 11,026.41, 15,231.93 and 10,029.93

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Solution

The fourth proportional to 11,026.41, 15,231.93 and 10,029.93 is: 13,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.41 : 15,231.93 = 10,029.93 : x
  2. Step 2: Convert to fraction form
    11,026.41/15,231.93 = 10,029.93/x
  3. Step 3: Cross multiply
    11,026.41x = 15,231.93 × 10,029.93
  4. Step 4: Simplify right side
    11,026.41x = 152,775,191.66
  5. Step 5: Solve for x
    x = 152,775,191.66/11,026.41
  6. Step 6: Final answer
    x = 13,855.39

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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.