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Finding the Fourth Proportional to 23,711.82, 32,724.03 and 13,643.40

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Solution

The fourth proportional to 23,711.82, 32,724.03 and 13,643.40 is: 18,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711.82 : 32,724.03 = 13,643.40 : x
  2. Step 2: Convert to fraction form
    23,711.82/32,724.03 = 13,643.40/x
  3. Step 3: Cross multiply
    23,711.82x = 32,724.03 × 13,643.40
  4. Step 4: Simplify right side
    23,711.82x = 446,467,030.90
  5. Step 5: Solve for x
    x = 446,467,030.90/23,711.82
  6. Step 6: Final answer
    x = 18,828.88

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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.