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Finding the Fourth Proportional to 16,391.51, 22,621.48 and 10,019.31

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Solution

The fourth proportional to 16,391.51, 22,621.48 and 10,019.31 is: 13,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,391.51 : 22,621.48 = 10,019.31 : x
  2. Step 2: Convert to fraction form
    16,391.51/22,621.48 = 10,019.31/x
  3. Step 3: Cross multiply
    16,391.51x = 22,621.48 × 10,019.31
  4. Step 4: Simplify right side
    16,391.51x = 226,651,638.15
  5. Step 5: Solve for x
    x = 226,651,638.15/16,391.51
  6. Step 6: Final answer
    x = 13,827.38

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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.