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Finding the Fourth Proportional to 28,189.52, 38,900 and 15,614

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Solution

The fourth proportional to 28,189.52, 38,900 and 15,614 is: 21,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,189.52 : 38,900 = 15,614 : x
  2. Step 2: Convert to fraction form
    28,189.52/38,900 = 15,614/x
  3. Step 3: Cross multiply
    28,189.52x = 38,900 × 15,614
  4. Step 4: Simplify right side
    28,189.52x = 607,384,600
  5. Step 5: Solve for x
    x = 607,384,600/28,189.52
  6. Step 6: Final answer
    x = 21,546.47

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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.