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Finding the Fourth Proportional to 28,243.64, 38,978.07 and 16,307.48

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Solution

The fourth proportional to 28,243.64, 38,978.07 and 16,307.48 is: 22,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,243.64 : 38,978.07 = 16,307.48 : x
  2. Step 2: Convert to fraction form
    28,243.64/38,978.07 = 16,307.48/x
  3. Step 3: Cross multiply
    28,243.64x = 38,978.07 × 16,307.48
  4. Step 4: Simplify right side
    28,243.64x = 635,634,096.96
  5. Step 5: Solve for x
    x = 635,634,096.96/28,243.64
  6. Step 6: Final answer
    x = 22,505.39

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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.