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Finding the Fourth Proportional to 13,152.24, 18,153.72 and 7,850.64

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Solution

The fourth proportional to 13,152.24, 18,153.72 and 7,850.64 is: 10,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.24 : 18,153.72 = 7,850.64 : x
  2. Step 2: Convert to fraction form
    13,152.24/18,153.72 = 7,850.64/x
  3. Step 3: Cross multiply
    13,152.24x = 18,153.72 × 7,850.64
  4. Step 4: Simplify right side
    13,152.24x = 142,518,320.38
  5. Step 5: Solve for x
    x = 142,518,320.38/13,152.24
  6. Step 6: Final answer
    x = 10,836.05

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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.