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Finding the Fourth Proportional to 13,072.50, 19,597.73 and 5,671.39

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Solution

The fourth proportional to 13,072.50, 19,597.73 and 5,671.39 is: 8,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.50 : 19,597.73 = 5,671.39 : x
  2. Step 2: Convert to fraction form
    13,072.50/19,597.73 = 5,671.39/x
  3. Step 3: Cross multiply
    13,072.50x = 19,597.73 × 5,671.39
  4. Step 4: Simplify right side
    13,072.50x = 111,146,341.59
  5. Step 5: Solve for x
    x = 111,146,341.59/13,072.50
  6. Step 6: Final answer
    x = 8,502.30

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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.