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Finding the Fourth Proportional to 30,884.88, 42,627.28 and 17,456.32

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Solution

The fourth proportional to 30,884.88, 42,627.28 and 17,456.32 is: 24,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.88 : 42,627.28 = 17,456.32 : x
  2. Step 2: Convert to fraction form
    30,884.88/42,627.28 = 17,456.32/x
  3. Step 3: Cross multiply
    30,884.88x = 42,627.28 × 17,456.32
  4. Step 4: Simplify right side
    30,884.88x = 744,115,440.41
  5. Step 5: Solve for x
    x = 744,115,440.41/30,884.88
  6. Step 6: Final answer
    x = 24,093.20

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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.