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Finding the Fourth Proportional to 21,536.38, 29,720.64 and 12,105.10

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Solution

The fourth proportional to 21,536.38, 29,720.64 and 12,105.10 is: 16,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.38 : 29,720.64 = 12,105.10 : x
  2. Step 2: Convert to fraction form
    21,536.38/29,720.64 = 12,105.10/x
  3. Step 3: Cross multiply
    21,536.38x = 29,720.64 × 12,105.10
  4. Step 4: Simplify right side
    21,536.38x = 359,771,319.26
  5. Step 5: Solve for x
    x = 359,771,319.26/21,536.38
  6. Step 6: Final answer
    x = 16,705.28

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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.