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Finding the Fourth Proportional to 13,021.34, 17,970.54 and 7,357.12

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Solution

The fourth proportional to 13,021.34, 17,970.54 and 7,357.12 is: 10,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.34 : 17,970.54 = 7,357.12 : x
  2. Step 2: Convert to fraction form
    13,021.34/17,970.54 = 7,357.12/x
  3. Step 3: Cross multiply
    13,021.34x = 17,970.54 × 7,357.12
  4. Step 4: Simplify right side
    13,021.34x = 132,211,469.30
  5. Step 5: Solve for x
    x = 132,211,469.30/13,021.34
  6. Step 6: Final answer
    x = 10,153.45

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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.