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Finding the Fourth Proportional to 15,851.67, 21,875.26 and 9,137.26

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Solution

The fourth proportional to 15,851.67, 21,875.26 and 9,137.26 is: 12,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.67 : 21,875.26 = 9,137.26 : x
  2. Step 2: Convert to fraction form
    15,851.67/21,875.26 = 9,137.26/x
  3. Step 3: Cross multiply
    15,851.67x = 21,875.26 × 9,137.26
  4. Step 4: Simplify right side
    15,851.67x = 199,879,811.07
  5. Step 5: Solve for x
    x = 199,879,811.07/15,851.67
  6. Step 6: Final answer
    x = 12,609.39

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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.