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Finding the Fourth Proportional to 23,699.57, 32,698.02 and 13,624.38

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Solution

The fourth proportional to 23,699.57, 32,698.02 and 13,624.38 is: 18,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699.57 : 32,698.02 = 13,624.38 : x
  2. Step 2: Convert to fraction form
    23,699.57/32,698.02 = 13,624.38/x
  3. Step 3: Cross multiply
    23,699.57x = 32,698.02 × 13,624.38
  4. Step 4: Simplify right side
    23,699.57x = 445,490,249.73
  5. Step 5: Solve for x
    x = 445,490,249.73/23,699.57
  6. Step 6: Final answer
    x = 18,797.40

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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.