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Finding the Fourth Proportional to 21,622.28, 29,823 and 16,529.32

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Solution

The fourth proportional to 21,622.28, 29,823 and 16,529.32 is: 22,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.28 : 29,823 = 16,529.32 : x
  2. Step 2: Convert to fraction form
    21,622.28/29,823 = 16,529.32/x
  3. Step 3: Cross multiply
    21,622.28x = 29,823 × 16,529.32
  4. Step 4: Simplify right side
    21,622.28x = 492,953,761.25
  5. Step 5: Solve for x
    x = 492,953,761.25/21,622.28
  6. Step 6: Final answer
    x = 22,798.42

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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.