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Finding the Fourth Proportional to 16,797.19, 23,182.38 and 10,846.18

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Solution

The fourth proportional to 16,797.19, 23,182.38 and 10,846.18 is: 14,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,797.19 : 23,182.38 = 10,846.18 : x
  2. Step 2: Convert to fraction form
    16,797.19/23,182.38 = 10,846.18/x
  3. Step 3: Cross multiply
    16,797.19x = 23,182.38 × 10,846.18
  4. Step 4: Simplify right side
    16,797.19x = 251,440,266.31
  5. Step 5: Solve for x
    x = 251,440,266.31/16,797.19
  6. Step 6: Final answer
    x = 14,969.19

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Why These Related Problems?

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