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Finding the Fourth Proportional to 17,847.88, 24,641.63 and 11,477.33

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Solution

The fourth proportional to 17,847.88, 24,641.63 and 11,477.33 is: 15,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.88 : 24,641.63 = 11,477.33 : x
  2. Step 2: Convert to fraction form
    17,847.88/24,641.63 = 11,477.33/x
  3. Step 3: Cross multiply
    17,847.88x = 24,641.63 × 11,477.33
  4. Step 4: Simplify right side
    17,847.88x = 282,820,119.25
  5. Step 5: Solve for x
    x = 282,820,119.25/17,847.88
  6. Step 6: Final answer
    x = 15,846.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.