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Finding the Fourth Proportional to 21,176, 29,222.88 and 11,745.16

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Solution

The fourth proportional to 21,176, 29,222.88 and 11,745.16 is: 16,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176 : 29,222.88 = 11,745.16 : x
  2. Step 2: Convert to fraction form
    21,176/29,222.88 = 11,745.16/x
  3. Step 3: Cross multiply
    21,176x = 29,222.88 × 11,745.16
  4. Step 4: Simplify right side
    21,176x = 343,227,401.26
  5. Step 5: Solve for x
    x = 343,227,401.26/21,176
  6. Step 6: Final answer
    x = 16,208.32

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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.