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Finding the Fourth Proportional to 28,613.25, 39,489.93 and 16,038

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Solution

The fourth proportional to 28,613.25, 39,489.93 and 16,038 is: 22,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,613.25 : 39,489.93 = 16,038 : x
  2. Step 2: Convert to fraction form
    28,613.25/39,489.93 = 16,038/x
  3. Step 3: Cross multiply
    28,613.25x = 39,489.93 × 16,038
  4. Step 4: Simplify right side
    28,613.25x = 633,339,497.34
  5. Step 5: Solve for x
    x = 633,339,497.34/28,613.25
  6. Step 6: Final answer
    x = 22,134.48

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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.