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Finding the Fourth Proportional to 13,022.07, 17,972.04 and 7,357.07

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Solution

The fourth proportional to 13,022.07, 17,972.04 and 7,357.07 is: 10,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.07 : 17,972.04 = 7,357.07 : x
  2. Step 2: Convert to fraction form
    13,022.07/17,972.04 = 7,357.07/x
  3. Step 3: Cross multiply
    13,022.07x = 17,972.04 × 7,357.07
  4. Step 4: Simplify right side
    13,022.07x = 132,221,466.46
  5. Step 5: Solve for x
    x = 132,221,466.46/13,022.07
  6. Step 6: Final answer
    x = 10,153.64

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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.