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Finding the Fourth Proportional to 15,852.67, 21,876.64 and 9,138.26

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Solution

The fourth proportional to 15,852.67, 21,876.64 and 9,138.26 is: 12,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.67 : 21,876.64 = 9,138.26 : x
  2. Step 2: Convert to fraction form
    15,852.67/21,876.64 = 9,138.26/x
  3. Step 3: Cross multiply
    15,852.67x = 21,876.64 × 9,138.26
  4. Step 4: Simplify right side
    15,852.67x = 199,914,424.25
  5. Step 5: Solve for x
    x = 199,914,424.25/15,852.67
  6. Step 6: Final answer
    x = 12,610.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.