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Finding the Fourth Proportional to 13,643.92, 18,783.12 and 13,016.98

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Solution

The fourth proportional to 13,643.92, 18,783.12 and 13,016.98 is: 17,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.92 : 18,783.12 = 13,016.98 : x
  2. Step 2: Convert to fraction form
    13,643.92/18,783.12 = 13,016.98/x
  3. Step 3: Cross multiply
    13,643.92x = 18,783.12 × 13,016.98
  4. Step 4: Simplify right side
    13,643.92x = 244,499,497.38
  5. Step 5: Solve for x
    x = 244,499,497.38/13,643.92
  6. Step 6: Final answer
    x = 17,920.03

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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.