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Finding the Fourth Proportional to 16,964.54, 23,411.04 and 9,412.02

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Solution

The fourth proportional to 16,964.54, 23,411.04 and 9,412.02 is: 12,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.54 : 23,411.04 = 9,412.02 : x
  2. Step 2: Convert to fraction form
    16,964.54/23,411.04 = 9,412.02/x
  3. Step 3: Cross multiply
    16,964.54x = 23,411.04 × 9,412.02
  4. Step 4: Simplify right side
    16,964.54x = 220,345,141.41
  5. Step 5: Solve for x
    x = 220,345,141.41/16,964.54
  6. Step 6: Final answer
    x = 12,988.57

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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.