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Finding the Fourth Proportional to 28,022.28, 38,670.78 and 15,447

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Solution

The fourth proportional to 28,022.28, 38,670.78 and 15,447 is: 21,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,022.28 : 38,670.78 = 15,447 : x
  2. Step 2: Convert to fraction form
    28,022.28/38,670.78 = 15,447/x
  3. Step 3: Cross multiply
    28,022.28x = 38,670.78 × 15,447
  4. Step 4: Simplify right side
    28,022.28x = 597,347,538.66
  5. Step 5: Solve for x
    x = 597,347,538.66/28,022.28
  6. Step 6: Final answer
    x = 21,316.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.