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Finding the Fourth Proportional to 13,021.82, 17,970.01 and 7,053.42

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Solution

The fourth proportional to 13,021.82, 17,970.01 and 7,053.42 is: 9,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.82 : 17,970.01 = 7,053.42 : x
  2. Step 2: Convert to fraction form
    13,021.82/17,970.01 = 7,053.42/x
  3. Step 3: Cross multiply
    13,021.82x = 17,970.01 × 7,053.42
  4. Step 4: Simplify right side
    13,021.82x = 126,750,027.93
  5. Step 5: Solve for x
    x = 126,750,027.93/13,021.82
  6. Step 6: Final answer
    x = 9,733.66

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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.