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Finding the Fourth Proportional to 16,963.40, 23,412.30 and 9,412.16

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Solution

The fourth proportional to 16,963.40, 23,412.30 and 9,412.16 is: 12,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.40 : 23,412.30 = 9,412.16 : x
  2. Step 2: Convert to fraction form
    16,963.40/23,412.30 = 9,412.16/x
  3. Step 3: Cross multiply
    16,963.40x = 23,412.30 × 9,412.16
  4. Step 4: Simplify right side
    16,963.40x = 220,360,313.57
  5. Step 5: Solve for x
    x = 220,360,313.57/16,963.40
  6. Step 6: Final answer
    x = 12,990.34

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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.