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Finding the Fourth Proportional to 21,156.64, 29,201.38 and 12,209.46

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Solution

The fourth proportional to 21,156.64, 29,201.38 and 12,209.46 is: 16,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.64 : 29,201.38 = 12,209.46 : x
  2. Step 2: Convert to fraction form
    21,156.64/29,201.38 = 12,209.46/x
  3. Step 3: Cross multiply
    21,156.64x = 29,201.38 × 12,209.46
  4. Step 4: Simplify right side
    21,156.64x = 356,533,081.05
  5. Step 5: Solve for x
    x = 356,533,081.05/21,156.64
  6. Step 6: Final answer
    x = 16,852.07

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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.