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Finding the Fourth Proportional to 28,431.82, 39,223.22 and 16,488.23

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Solution

The fourth proportional to 28,431.82, 39,223.22 and 16,488.23 is: 22,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431.82 : 39,223.22 = 16,488.23 : x
  2. Step 2: Convert to fraction form
    28,431.82/39,223.22 = 16,488.23/x
  3. Step 3: Cross multiply
    28,431.82x = 39,223.22 × 16,488.23
  4. Step 4: Simplify right side
    28,431.82x = 646,721,390.26
  5. Step 5: Solve for x
    x = 646,721,390.26/28,431.82
  6. Step 6: Final answer
    x = 22,746.39

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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.