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Finding the Fourth Proportional to 16,707.26, 23,055 and 9,152.22

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Solution

The fourth proportional to 16,707.26, 23,055 and 9,152.22 is: 12,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707.26 : 23,055 = 9,152.22 : x
  2. Step 2: Convert to fraction form
    16,707.26/23,055 = 9,152.22/x
  3. Step 3: Cross multiply
    16,707.26x = 23,055 × 9,152.22
  4. Step 4: Simplify right side
    16,707.26x = 211,004,432.10
  5. Step 5: Solve for x
    x = 211,004,432.10/16,707.26
  6. Step 6: Final answer
    x = 12,629.51

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1.5x scale

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.