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Finding the Fourth Proportional to 23,408.42, 32,303.65 and 13,336.42

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Solution

The fourth proportional to 23,408.42, 32,303.65 and 13,336.42 is: 18,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.42 : 32,303.65 = 13,336.42 : x
  2. Step 2: Convert to fraction form
    23,408.42/32,303.65 = 13,336.42/x
  3. Step 3: Cross multiply
    23,408.42x = 32,303.65 × 13,336.42
  4. Step 4: Simplify right side
    23,408.42x = 430,815,043.93
  5. Step 5: Solve for x
    x = 430,815,043.93/23,408.42
  6. Step 6: Final answer
    x = 18,404.28

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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.