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Finding the Fourth Proportional to 12,317.44, 18,482.56 and 4,000

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Solution

The fourth proportional to 12,317.44, 18,482.56 and 4,000 is: 6,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.44 : 18,482.56 = 4,000 : x
  2. Step 2: Convert to fraction form
    12,317.44/18,482.56 = 4,000/x
  3. Step 3: Cross multiply
    12,317.44x = 18,482.56 × 4,000
  4. Step 4: Simplify right side
    12,317.44x = 73,930,240
  5. Step 5: Solve for x
    x = 73,930,240/12,317.44
  6. Step 6: Final answer
    x = 6,002.08

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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.