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Finding the Fourth Proportional to 16,506.82, 22,779.48 and 9,433.48

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Solution

The fourth proportional to 16,506.82, 22,779.48 and 9,433.48 is: 13,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.82 : 22,779.48 = 9,433.48 : x
  2. Step 2: Convert to fraction form
    16,506.82/22,779.48 = 9,433.48/x
  3. Step 3: Cross multiply
    16,506.82x = 22,779.48 × 9,433.48
  4. Step 4: Simplify right side
    16,506.82x = 214,889,768.99
  5. Step 5: Solve for x
    x = 214,889,768.99/16,506.82
  6. Step 6: Final answer
    x = 13,018.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.