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Finding the Fourth Proportional to 17,338.22, 23,925 and 9,783.86

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Solution

The fourth proportional to 17,338.22, 23,925 and 9,783.86 is: 13,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.22 : 23,925 = 9,783.86 : x
  2. Step 2: Convert to fraction form
    17,338.22/23,925 = 9,783.86/x
  3. Step 3: Cross multiply
    17,338.22x = 23,925 × 9,783.86
  4. Step 4: Simplify right side
    17,338.22x = 234,078,850.50
  5. Step 5: Solve for x
    x = 234,078,850.50/17,338.22
  6. Step 6: Final answer
    x = 13,500.74

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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.