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Finding the Fourth Proportional to 23,425.92, 32,327.01 and 12,815.64

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Solution

The fourth proportional to 23,425.92, 32,327.01 and 12,815.64 is: 17,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,425.92 : 32,327.01 = 12,815.64 : x
  2. Step 2: Convert to fraction form
    23,425.92/32,327.01 = 12,815.64/x
  3. Step 3: Cross multiply
    23,425.92x = 32,327.01 × 12,815.64
  4. Step 4: Simplify right side
    23,425.92x = 414,291,322.44
  5. Step 5: Solve for x
    x = 414,291,322.44/23,425.92
  6. Step 6: Final answer
    x = 17,685.17

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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.