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Finding the Fourth Proportional to 17,811.63, 24,581.88 and 10,258.26

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Solution

The fourth proportional to 17,811.63, 24,581.88 and 10,258.26 is: 14,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.63 : 24,581.88 = 10,258.26 : x
  2. Step 2: Convert to fraction form
    17,811.63/24,581.88 = 10,258.26/x
  3. Step 3: Cross multiply
    17,811.63x = 24,581.88 × 10,258.26
  4. Step 4: Simplify right side
    17,811.63x = 252,167,316.33
  5. Step 5: Solve for x
    x = 252,167,316.33/17,811.63
  6. Step 6: Final answer
    x = 14,157.45

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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.