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Finding the Fourth Proportional to 17,873.84, 26,823.06 and 8,024.15

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Solution

The fourth proportional to 17,873.84, 26,823.06 and 8,024.15 is: 12,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,873.84 : 26,823.06 = 8,024.15 : x
  2. Step 2: Convert to fraction form
    17,873.84/26,823.06 = 8,024.15/x
  3. Step 3: Cross multiply
    17,873.84x = 26,823.06 × 8,024.15
  4. Step 4: Simplify right side
    17,873.84x = 215,232,122.78
  5. Step 5: Solve for x
    x = 215,232,122.78/17,873.84
  6. Step 6: Final answer
    x = 12,041.74

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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.