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Finding the Fourth Proportional to 12,700.96, 17,527.94 and 7,665.09

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Solution

The fourth proportional to 12,700.96, 17,527.94 and 7,665.09 is: 10,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.96 : 17,527.94 = 7,665.09 : x
  2. Step 2: Convert to fraction form
    12,700.96/17,527.94 = 7,665.09/x
  3. Step 3: Cross multiply
    12,700.96x = 17,527.94 × 7,665.09
  4. Step 4: Simplify right side
    12,700.96x = 134,353,254.72
  5. Step 5: Solve for x
    x = 134,353,254.72/12,700.96
  6. Step 6: Final answer
    x = 10,578.20

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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.