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Finding the Fourth Proportional to 17,809.40, 24,574.83 and 10,258.19

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Solution

The fourth proportional to 17,809.40, 24,574.83 and 10,258.19 is: 14,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.40 : 24,574.83 = 10,258.19 : x
  2. Step 2: Convert to fraction form
    17,809.40/24,574.83 = 10,258.19/x
  3. Step 3: Cross multiply
    17,809.40x = 24,574.83 × 10,258.19
  4. Step 4: Simplify right side
    17,809.40x = 252,093,189.61
  5. Step 5: Solve for x
    x = 252,093,189.61/17,809.40
  6. Step 6: Final answer
    x = 14,155.06

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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.