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Finding the Fourth Proportional to 21,460.96, 29,616.96 and 12,514.24

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Solution

The fourth proportional to 21,460.96, 29,616.96 and 12,514.24 is: 17,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.96 : 29,616.96 = 12,514.24 : x
  2. Step 2: Convert to fraction form
    21,460.96/29,616.96 = 12,514.24/x
  3. Step 3: Cross multiply
    21,460.96x = 29,616.96 × 12,514.24
  4. Step 4: Simplify right side
    21,460.96x = 370,633,745.51
  5. Step 5: Solve for x
    x = 370,633,745.51/21,460.96
  6. Step 6: Final answer
    x = 17,270.14

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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.