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Finding the Fourth Proportional to 13,152.64, 18,150.44 and 7,184.18

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Solution

The fourth proportional to 13,152.64, 18,150.44 and 7,184.18 is: 9,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.64 : 18,150.44 = 7,184.18 : x
  2. Step 2: Convert to fraction form
    13,152.64/18,150.44 = 7,184.18/x
  3. Step 3: Cross multiply
    13,152.64x = 18,150.44 × 7,184.18
  4. Step 4: Simplify right side
    13,152.64x = 130,396,091.38
  5. Step 5: Solve for x
    x = 130,396,091.38/13,152.64
  6. Step 6: Final answer
    x = 9,914.06

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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.