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Finding the Fourth Proportional to 17,083.12, 25,624.80 and 16,339.60

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Solution

The fourth proportional to 17,083.12, 25,624.80 and 16,339.60 is: 24,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.12 : 25,624.80 = 16,339.60 : x
  2. Step 2: Convert to fraction form
    17,083.12/25,624.80 = 16,339.60/x
  3. Step 3: Cross multiply
    17,083.12x = 25,624.80 × 16,339.60
  4. Step 4: Simplify right side
    17,083.12x = 418,698,982.08
  5. Step 5: Solve for x
    x = 418,698,982.08/17,083.12
  6. Step 6: Final answer
    x = 24,509.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.