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Finding the Fourth Proportional to 12,884.58, 19,331.73 and 4,564.26

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Solution

The fourth proportional to 12,884.58, 19,331.73 and 4,564.26 is: 6,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.58 : 19,331.73 = 4,564.26 : x
  2. Step 2: Convert to fraction form
    12,884.58/19,331.73 = 4,564.26/x
  3. Step 3: Cross multiply
    12,884.58x = 19,331.73 × 4,564.26
  4. Step 4: Simplify right side
    12,884.58x = 88,235,041.97
  5. Step 5: Solve for x
    x = 88,235,041.97/12,884.58
  6. Step 6: Final answer
    x = 6,848.11

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