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Finding the Fourth Proportional to 14,896.85, 22,297.32 and 7,866.81

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Solution

The fourth proportional to 14,896.85, 22,297.32 and 7,866.81 is: 11,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.85 : 22,297.32 = 7,866.81 : x
  2. Step 2: Convert to fraction form
    14,896.85/22,297.32 = 7,866.81/x
  3. Step 3: Cross multiply
    14,896.85x = 22,297.32 × 7,866.81
  4. Step 4: Simplify right side
    14,896.85x = 175,408,779.95
  5. Step 5: Solve for x
    x = 175,408,779.95/14,896.85
  6. Step 6: Final answer
    x = 11,774.89

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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.