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Finding the Fourth Proportional to 12,884.76, 19,328.62 and 4,563

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Solution

The fourth proportional to 12,884.76, 19,328.62 and 4,563 is: 6,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.76 : 19,328.62 = 4,563 : x
  2. Step 2: Convert to fraction form
    12,884.76/19,328.62 = 4,563/x
  3. Step 3: Cross multiply
    12,884.76x = 19,328.62 × 4,563
  4. Step 4: Simplify right side
    12,884.76x = 88,196,493.06
  5. Step 5: Solve for x
    x = 88,196,493.06/12,884.76
  6. Step 6: Final answer
    x = 6,845.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.