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Finding the Fourth Proportional to 12,577.56, 18,866.26 and 6,425.88

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Solution

The fourth proportional to 12,577.56, 18,866.26 and 6,425.88 is: 9,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.56 : 18,866.26 = 6,425.88 : x
  2. Step 2: Convert to fraction form
    12,577.56/18,866.26 = 6,425.88/x
  3. Step 3: Cross multiply
    12,577.56x = 18,866.26 × 6,425.88
  4. Step 4: Simplify right side
    12,577.56x = 121,232,322.81
  5. Step 5: Solve for x
    x = 121,232,322.81/12,577.56
  6. Step 6: Final answer
    x = 9,638.78

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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.