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Finding the Fourth Proportional to 13,024.80, 17,974.19 and 7,056.63

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Solution

The fourth proportional to 13,024.80, 17,974.19 and 7,056.63 is: 9,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.80 : 17,974.19 = 7,056.63 : x
  2. Step 2: Convert to fraction form
    13,024.80/17,974.19 = 7,056.63/x
  3. Step 3: Cross multiply
    13,024.80x = 17,974.19 × 7,056.63
  4. Step 4: Simplify right side
    13,024.80x = 126,837,136.15
  5. Step 5: Solve for x
    x = 126,837,136.15/13,024.80
  6. Step 6: Final answer
    x = 9,738.13

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Why These Related Problems?

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