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Finding the Fourth Proportional to 20,326.25, 30,641.74 and 18,971.54

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Solution

The fourth proportional to 20,326.25, 30,641.74 and 18,971.54 is: 28,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,326.25 : 30,641.74 = 18,971.54 : x
  2. Step 2: Convert to fraction form
    20,326.25/30,641.74 = 18,971.54/x
  3. Step 3: Cross multiply
    20,326.25x = 30,641.74 × 18,971.54
  4. Step 4: Simplify right side
    20,326.25x = 581,320,901.22
  5. Step 5: Solve for x
    x = 581,320,901.22/20,326.25
  6. Step 6: Final answer
    x = 28,599.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.