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Finding the Fourth Proportional to 17,056.48, 25,567.44 and 8,284

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Solution

The fourth proportional to 17,056.48, 25,567.44 and 8,284 is: 12,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,056.48 : 25,567.44 = 8,284 : x
  2. Step 2: Convert to fraction form
    17,056.48/25,567.44 = 8,284/x
  3. Step 3: Cross multiply
    17,056.48x = 25,567.44 × 8,284
  4. Step 4: Simplify right side
    17,056.48x = 211,800,672.96
  5. Step 5: Solve for x
    x = 211,800,672.96/17,056.48
  6. Step 6: Final answer
    x = 12,417.61

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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.