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Finding the Fourth Proportional to 21,254.14, 29,328.63 and 11,822.14

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Solution

The fourth proportional to 21,254.14, 29,328.63 and 11,822.14 is: 16,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.14 : 29,328.63 = 11,822.14 : x
  2. Step 2: Convert to fraction form
    21,254.14/29,328.63 = 11,822.14/x
  3. Step 3: Cross multiply
    21,254.14x = 29,328.63 × 11,822.14
  4. Step 4: Simplify right side
    21,254.14x = 346,727,169.87
  5. Step 5: Solve for x
    x = 346,727,169.87/21,254.14
  6. Step 6: Final answer
    x = 16,313.39

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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.