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Finding the Fourth Proportional to 23,694.50, 32,698.40 and 13,624.92

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Solution

The fourth proportional to 23,694.50, 32,698.40 and 13,624.92 is: 18,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.50 : 32,698.40 = 13,624.92 : x
  2. Step 2: Convert to fraction form
    23,694.50/32,698.40 = 13,624.92/x
  3. Step 3: Cross multiply
    23,694.50x = 32,698.40 × 13,624.92
  4. Step 4: Simplify right side
    23,694.50x = 445,513,016.00
  5. Step 5: Solve for x
    x = 445,513,016.00/23,694.50
  6. Step 6: Final answer
    x = 18,802.38

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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.