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Finding the Fourth Proportional to 16,678.46, 23,012.39 and 9,966.26

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Solution

The fourth proportional to 16,678.46, 23,012.39 and 9,966.26 is: 13,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.46 : 23,012.39 = 9,966.26 : x
  2. Step 2: Convert to fraction form
    16,678.46/23,012.39 = 9,966.26/x
  3. Step 3: Cross multiply
    16,678.46x = 23,012.39 × 9,966.26
  4. Step 4: Simplify right side
    16,678.46x = 229,347,297.07
  5. Step 5: Solve for x
    x = 229,347,297.07/16,678.46
  6. Step 6: Final answer
    x = 13,751.11

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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.