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Finding the Fourth Proportional to 12,647.64, 17,455.50 and 7,059

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Solution

The fourth proportional to 12,647.64, 17,455.50 and 7,059 is: 9,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.64 : 17,455.50 = 7,059 : x
  2. Step 2: Convert to fraction form
    12,647.64/17,455.50 = 7,059/x
  3. Step 3: Cross multiply
    12,647.64x = 17,455.50 × 7,059
  4. Step 4: Simplify right side
    12,647.64x = 123,218,374.50
  5. Step 5: Solve for x
    x = 123,218,374.50/12,647.64
  6. Step 6: Final answer
    x = 9,742.40

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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.