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Finding the Fourth Proportional to 12,655.36, 17,459.04 and 8,464.96

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Solution

The fourth proportional to 12,655.36, 17,459.04 and 8,464.96 is: 11,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.36 : 17,459.04 = 8,464.96 : x
  2. Step 2: Convert to fraction form
    12,655.36/17,459.04 = 8,464.96/x
  3. Step 3: Cross multiply
    12,655.36x = 17,459.04 × 8,464.96
  4. Step 4: Simplify right side
    12,655.36x = 147,790,075.24
  5. Step 5: Solve for x
    x = 147,790,075.24/12,655.36
  6. Step 6: Final answer
    x = 11,678.06

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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.