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Finding the Fourth Proportional to 17,725, 26,587.50 and 5,413

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Solution

The fourth proportional to 17,725, 26,587.50 and 5,413 is: 8,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725 : 26,587.50 = 5,413 : x
  2. Step 2: Convert to fraction form
    17,725/26,587.50 = 5,413/x
  3. Step 3: Cross multiply
    17,725x = 26,587.50 × 5,413
  4. Step 4: Simplify right side
    17,725x = 143,918,137.50
  5. Step 5: Solve for x
    x = 143,918,137.50/17,725
  6. Step 6: Final answer
    x = 8,119.50

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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.