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Finding the Fourth Proportional to 13,021.12, 17,968.92 and 7,432

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Solution

The fourth proportional to 13,021.12, 17,968.92 and 7,432 is: 10,256.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.12 : 17,968.92 = 7,432 : x
  2. Step 2: Convert to fraction form
    13,021.12/17,968.92 = 7,432/x
  3. Step 3: Cross multiply
    13,021.12x = 17,968.92 × 7,432
  4. Step 4: Simplify right side
    13,021.12x = 133,545,013.44
  5. Step 5: Solve for x
    x = 133,545,013.44/13,021.12
  6. Step 6: Final answer
    x = 10,256.03

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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.