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Finding the Fourth Proportional to 21,243.72, 29,308.50 and 12,857.16

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Solution

The fourth proportional to 21,243.72, 29,308.50 and 12,857.16 is: 17,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.72 : 29,308.50 = 12,857.16 : x
  2. Step 2: Convert to fraction form
    21,243.72/29,308.50 = 12,857.16/x
  3. Step 3: Cross multiply
    21,243.72x = 29,308.50 × 12,857.16
  4. Step 4: Simplify right side
    21,243.72x = 376,824,073.86
  5. Step 5: Solve for x
    x = 376,824,073.86/21,243.72
  6. Step 6: Final answer
    x = 17,738.14

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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.