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Finding the Fourth Proportional to 13,013.45, 17,958.51 and 7,045.22

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Solution

The fourth proportional to 13,013.45, 17,958.51 and 7,045.22 is: 9,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.45 : 17,958.51 = 7,045.22 : x
  2. Step 2: Convert to fraction form
    13,013.45/17,958.51 = 7,045.22/x
  3. Step 3: Cross multiply
    13,013.45x = 17,958.51 × 7,045.22
  4. Step 4: Simplify right side
    13,013.45x = 126,521,653.82
  5. Step 5: Solve for x
    x = 126,521,653.82/13,013.45
  6. Step 6: Final answer
    x = 9,722.38

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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.