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Finding the Fourth Proportional to 13,019.29, 17,966.69 and 7,050.98

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Solution

The fourth proportional to 13,019.29, 17,966.69 and 7,050.98 is: 9,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.29 : 17,966.69 = 7,050.98 : x
  2. Step 2: Convert to fraction form
    13,019.29/17,966.69 = 7,050.98/x
  3. Step 3: Cross multiply
    13,019.29x = 17,966.69 × 7,050.98
  4. Step 4: Simplify right side
    13,019.29x = 126,682,771.86
  5. Step 5: Solve for x
    x = 126,682,771.86/13,019.29
  6. Step 6: Final answer
    x = 9,730.39

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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.