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Finding the Fourth Proportional to 13,006.72, 17,949.21 and 7,038.38

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Solution

The fourth proportional to 13,006.72, 17,949.21 and 7,038.38 is: 9,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.72 : 17,949.21 = 7,038.38 : x
  2. Step 2: Convert to fraction form
    13,006.72/17,949.21 = 7,038.38/x
  3. Step 3: Cross multiply
    13,006.72x = 17,949.21 × 7,038.38
  4. Step 4: Simplify right side
    13,006.72x = 126,333,379.16
  5. Step 5: Solve for x
    x = 126,333,379.16/13,006.72
  6. Step 6: Final answer
    x = 9,712.93

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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.