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Finding the Fourth Proportional to 12,185.46, 18,285.71 and 4,788.62

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Solution

The fourth proportional to 12,185.46, 18,285.71 and 4,788.62 is: 7,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.46 : 18,285.71 = 4,788.62 : x
  2. Step 2: Convert to fraction form
    12,185.46/18,285.71 = 4,788.62/x
  3. Step 3: Cross multiply
    12,185.46x = 18,285.71 × 4,788.62
  4. Step 4: Simplify right side
    12,185.46x = 87,563,316.62
  5. Step 5: Solve for x
    x = 87,563,316.62/12,185.46
  6. Step 6: Final answer
    x = 7,185.89

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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.