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Finding the Fourth Proportional to 16,689.64, 23,033.75 and 9,975.21

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Solution

The fourth proportional to 16,689.64, 23,033.75 and 9,975.21 is: 13,767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.64 : 23,033.75 = 9,975.21 : x
  2. Step 2: Convert to fraction form
    16,689.64/23,033.75 = 9,975.21/x
  3. Step 3: Cross multiply
    16,689.64x = 23,033.75 × 9,975.21
  4. Step 4: Simplify right side
    16,689.64x = 229,766,443.46
  5. Step 5: Solve for x
    x = 229,766,443.46/16,689.64
  6. Step 6: Final answer
    x = 13,767.01

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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.