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Finding the Fourth Proportional to 17,832.37, 24,608.11 and 9,765.67

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Solution

The fourth proportional to 17,832.37, 24,608.11 and 9,765.67 is: 13,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.37 : 24,608.11 = 9,765.67 : x
  2. Step 2: Convert to fraction form
    17,832.37/24,608.11 = 9,765.67/x
  3. Step 3: Cross multiply
    17,832.37x = 24,608.11 × 9,765.67
  4. Step 4: Simplify right side
    17,832.37x = 240,314,509.71
  5. Step 5: Solve for x
    x = 240,314,509.71/17,832.37
  6. Step 6: Final answer
    x = 13,476.31

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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.