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Finding the Fourth Proportional to 14,255.68, 19,673.16 and 7,968.04

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Solution

The fourth proportional to 14,255.68, 19,673.16 and 7,968.04 is: 10,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.68 : 19,673.16 = 7,968.04 : x
  2. Step 2: Convert to fraction form
    14,255.68/19,673.16 = 7,968.04/x
  3. Step 3: Cross multiply
    14,255.68x = 19,673.16 × 7,968.04
  4. Step 4: Simplify right side
    14,255.68x = 156,756,525.81
  5. Step 5: Solve for x
    x = 156,756,525.81/14,255.68
  6. Step 6: Final answer
    x = 10,996.07

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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.