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Finding the Fourth Proportional to 17,038.50, 23,513.14 and 9,586.50

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Solution

The fourth proportional to 17,038.50, 23,513.14 and 9,586.50 is: 13,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.50 : 23,513.14 = 9,586.50 : x
  2. Step 2: Convert to fraction form
    17,038.50/23,513.14 = 9,586.50/x
  3. Step 3: Cross multiply
    17,038.50x = 23,513.14 × 9,586.50
  4. Step 4: Simplify right side
    17,038.50x = 225,408,716.61
  5. Step 5: Solve for x
    x = 225,408,716.61/17,038.50
  6. Step 6: Final answer
    x = 13,229.38

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1.5x scale

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.