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Finding the Fourth Proportional to 13,056.09, 19,585.09 and 4,736.15

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Solution

The fourth proportional to 13,056.09, 19,585.09 and 4,736.15 is: 7,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,056.09 : 19,585.09 = 4,736.15 : x
  2. Step 2: Convert to fraction form
    13,056.09/19,585.09 = 4,736.15/x
  3. Step 3: Cross multiply
    13,056.09x = 19,585.09 × 4,736.15
  4. Step 4: Simplify right side
    13,056.09x = 92,757,850.36
  5. Step 5: Solve for x
    x = 92,757,850.36/13,056.09
  6. Step 6: Final answer
    x = 7,104.57

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Why These Related Problems?

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