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Finding the Fourth Proportional to 16,964.36, 23,412.02 and 9,411.08

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Solution

The fourth proportional to 16,964.36, 23,412.02 and 9,411.08 is: 12,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.36 : 23,412.02 = 9,411.08 : x
  2. Step 2: Convert to fraction form
    16,964.36/23,412.02 = 9,411.08/x
  3. Step 3: Cross multiply
    16,964.36x = 23,412.02 × 9,411.08
  4. Step 4: Simplify right side
    16,964.36x = 220,332,393.18
  5. Step 5: Solve for x
    x = 220,332,393.18/16,964.36
  6. Step 6: Final answer
    x = 12,987.96

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1.5x scale

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.