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Finding the Fourth Proportional to 11,878.58, 17,824.07 and 8,618.57

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Solution

The fourth proportional to 11,878.58, 17,824.07 and 8,618.57 is: 12,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.58 : 17,824.07 = 8,618.57 : x
  2. Step 2: Convert to fraction form
    11,878.58/17,824.07 = 8,618.57/x
  3. Step 3: Cross multiply
    11,878.58x = 17,824.07 × 8,618.57
  4. Step 4: Simplify right side
    11,878.58x = 153,617,994.98
  5. Step 5: Solve for x
    x = 153,617,994.98/11,878.58
  6. Step 6: Final answer
    x = 12,932.35

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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.