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Finding the Fourth Proportional to 23,718, 32,745.94 and 14,778.56

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Solution

The fourth proportional to 23,718, 32,745.94 and 14,778.56 is: 20,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718 : 32,745.94 = 14,778.56 : x
  2. Step 2: Convert to fraction form
    23,718/32,745.94 = 14,778.56/x
  3. Step 3: Cross multiply
    23,718x = 32,745.94 × 14,778.56
  4. Step 4: Simplify right side
    23,718x = 483,937,839.05
  5. Step 5: Solve for x
    x = 483,937,839.05/23,718
  6. Step 6: Final answer
    x = 20,403.82

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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.