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Finding the Fourth Proportional to 21,513, 29,644.16 and 16,477.22

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Solution

The fourth proportional to 21,513, 29,644.16 and 16,477.22 is: 22,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513 : 29,644.16 = 16,477.22 : x
  2. Step 2: Convert to fraction form
    21,513/29,644.16 = 16,477.22/x
  3. Step 3: Cross multiply
    21,513x = 29,644.16 × 16,477.22
  4. Step 4: Simplify right side
    21,513x = 488,453,346.04
  5. Step 5: Solve for x
    x = 488,453,346.04/21,513
  6. Step 6: Final answer
    x = 22,705.03

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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.