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Finding the Fourth Proportional to 16,966.58, 23,409.06 and 9,891.63

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Solution

The fourth proportional to 16,966.58, 23,409.06 and 9,891.63 is: 13,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.58 : 23,409.06 = 9,891.63 : x
  2. Step 2: Convert to fraction form
    16,966.58/23,409.06 = 9,891.63/x
  3. Step 3: Cross multiply
    16,966.58x = 23,409.06 × 9,891.63
  4. Step 4: Simplify right side
    16,966.58x = 231,553,760.17
  5. Step 5: Solve for x
    x = 231,553,760.17/16,966.58
  6. Step 6: Final answer
    x = 13,647.64

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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.