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Finding the Fourth Proportional to 23,629.70, 32,609.07 and 13,019.10

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Solution

The fourth proportional to 23,629.70, 32,609.07 and 13,019.10 is: 17,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629.70 : 32,609.07 = 13,019.10 : x
  2. Step 2: Convert to fraction form
    23,629.70/32,609.07 = 13,019.10/x
  3. Step 3: Cross multiply
    23,629.70x = 32,609.07 × 13,019.10
  4. Step 4: Simplify right side
    23,629.70x = 424,540,743.24
  5. Step 5: Solve for x
    x = 424,540,743.24/23,629.70
  6. Step 6: Final answer
    x = 17,966.40

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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.