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Finding the Fourth Proportional to 13,029.80, 17,648.55 and 13,029.80

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Solution

The fourth proportional to 13,029.80, 17,648.55 and 13,029.80 is: 17,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.80 : 17,648.55 = 13,029.80 : x
  2. Step 2: Convert to fraction form
    13,029.80/17,648.55 = 13,029.80/x
  3. Step 3: Cross multiply
    13,029.80x = 17,648.55 × 13,029.80
  4. Step 4: Simplify right side
    13,029.80x = 229,957,076.79
  5. Step 5: Solve for x
    x = 229,957,076.79/13,029.80
  6. Step 6: Final answer
    x = 17,648.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.