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Finding the Fourth Proportional to 13,073.47, 19,604.05 and 4,747.60

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Solution

The fourth proportional to 13,073.47, 19,604.05 and 4,747.60 is: 7,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.47 : 19,604.05 = 4,747.60 : x
  2. Step 2: Convert to fraction form
    13,073.47/19,604.05 = 4,747.60/x
  3. Step 3: Cross multiply
    13,073.47x = 19,604.05 × 4,747.60
  4. Step 4: Simplify right side
    13,073.47x = 93,072,187.78
  5. Step 5: Solve for x
    x = 93,072,187.78/13,073.47
  6. Step 6: Final answer
    x = 7,119.16

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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.