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Finding the Fourth Proportional to 16,965.96, 23,412.86 and 9,412.32

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Solution

The fourth proportional to 16,965.96, 23,412.86 and 9,412.32 is: 12,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.96 : 23,412.86 = 9,412.32 : x
  2. Step 2: Convert to fraction form
    16,965.96/23,412.86 = 9,412.32/x
  3. Step 3: Cross multiply
    16,965.96x = 23,412.86 × 9,412.32
  4. Step 4: Simplify right side
    16,965.96x = 220,369,330.44
  5. Step 5: Solve for x
    x = 220,369,330.44/16,965.96
  6. Step 6: Final answer
    x = 12,988.91

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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.