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Finding the Fourth Proportional to 10,014.12, 13,825.11 and 6,661.50

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Solution

The fourth proportional to 10,014.12, 13,825.11 and 6,661.50 is: 9,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.12 : 13,825.11 = 6,661.50 : x
  2. Step 2: Convert to fraction form
    10,014.12/13,825.11 = 6,661.50/x
  3. Step 3: Cross multiply
    10,014.12x = 13,825.11 × 6,661.50
  4. Step 4: Simplify right side
    10,014.12x = 92,095,970.27
  5. Step 5: Solve for x
    x = 92,095,970.27/10,014.12
  6. Step 6: Final answer
    x = 9,196.61

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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.