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Finding the Fourth Proportional to 10,068.50, 15,054.69 and 9,186.23

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Solution

The fourth proportional to 10,068.50, 15,054.69 and 9,186.23 is: 13,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.50 : 15,054.69 = 9,186.23 : x
  2. Step 2: Convert to fraction form
    10,068.50/15,054.69 = 9,186.23/x
  3. Step 3: Cross multiply
    10,068.50x = 15,054.69 × 9,186.23
  4. Step 4: Simplify right side
    10,068.50x = 138,295,844.92
  5. Step 5: Solve for x
    x = 138,295,844.92/10,068.50
  6. Step 6: Final answer
    x = 13,735.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.