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Finding the Fourth Proportional to 17,625.74, 26,430.84 and 8,258.20

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Solution

The fourth proportional to 17,625.74, 26,430.84 and 8,258.20 is: 12,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.74 : 26,430.84 = 8,258.20 : x
  2. Step 2: Convert to fraction form
    17,625.74/26,430.84 = 8,258.20/x
  3. Step 3: Cross multiply
    17,625.74x = 26,430.84 × 8,258.20
  4. Step 4: Simplify right side
    17,625.74x = 218,271,162.89
  5. Step 5: Solve for x
    x = 218,271,162.89/17,625.74
  6. Step 6: Final answer
    x = 12,383.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.