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Finding the Fourth Proportional to 13,038.26, 17,992.65 and 7,069.82

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Solution

The fourth proportional to 13,038.26, 17,992.65 and 7,069.82 is: 9,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.26 : 17,992.65 = 7,069.82 : x
  2. Step 2: Convert to fraction form
    13,038.26/17,992.65 = 7,069.82/x
  3. Step 3: Cross multiply
    13,038.26x = 17,992.65 × 7,069.82
  4. Step 4: Simplify right side
    13,038.26x = 127,204,796.82
  5. Step 5: Solve for x
    x = 127,204,796.82/13,038.26
  6. Step 6: Final answer
    x = 9,756.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.