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Finding the Fourth Proportional to 27,757, 38,323.16 and 16,430.12

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Solution

The fourth proportional to 27,757, 38,323.16 and 16,430.12 is: 22,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757 : 38,323.16 = 16,430.12 : x
  2. Step 2: Convert to fraction form
    27,757/38,323.16 = 16,430.12/x
  3. Step 3: Cross multiply
    27,757x = 38,323.16 × 16,430.12
  4. Step 4: Simplify right side
    27,757x = 629,654,117.58
  5. Step 5: Solve for x
    x = 629,654,117.58/27,757
  6. Step 6: Final answer
    x = 22,684.52

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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.