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Finding the Fourth Proportional to 15,270.12, 21,083.09 and 9,894.15

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Solution

The fourth proportional to 15,270.12, 21,083.09 and 9,894.15 is: 13,660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270.12 : 21,083.09 = 9,894.15 : x
  2. Step 2: Convert to fraction form
    15,270.12/21,083.09 = 9,894.15/x
  3. Step 3: Cross multiply
    15,270.12x = 21,083.09 × 9,894.15
  4. Step 4: Simplify right side
    15,270.12x = 208,599,205.45
  5. Step 5: Solve for x
    x = 208,599,205.45/15,270.12
  6. Step 6: Final answer
    x = 13,660.61

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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.