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Finding the Fourth Proportional to 15,629.84, 23,434.38 and 8,613.22

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Solution

The fourth proportional to 15,629.84, 23,434.38 and 8,613.22 is: 12,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,629.84 : 23,434.38 = 8,613.22 : x
  2. Step 2: Convert to fraction form
    15,629.84/23,434.38 = 8,613.22/x
  3. Step 3: Cross multiply
    15,629.84x = 23,434.38 × 8,613.22
  4. Step 4: Simplify right side
    15,629.84x = 201,845,470.50
  5. Step 5: Solve for x
    x = 201,845,470.50/15,629.84
  6. Step 6: Final answer
    x = 12,914.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.