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Finding the Fourth Proportional to 28,021, 38,669.12 and 15,445.48

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Solution

The fourth proportional to 28,021, 38,669.12 and 15,445.48 is: 21,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,021 : 38,669.12 = 15,445.48 : x
  2. Step 2: Convert to fraction form
    28,021/38,669.12 = 15,445.48/x
  3. Step 3: Cross multiply
    28,021x = 38,669.12 × 15,445.48
  4. Step 4: Simplify right side
    28,021x = 597,263,119.58
  5. Step 5: Solve for x
    x = 597,263,119.58/28,021
  6. Step 6: Final answer
    x = 21,314.84

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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.