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Finding the Fourth Proportional to 12,353.99, 18,526.39 and 7,667.06

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Solution

The fourth proportional to 12,353.99, 18,526.39 and 7,667.06 is: 11,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.99 : 18,526.39 = 7,667.06 : x
  2. Step 2: Convert to fraction form
    12,353.99/18,526.39 = 7,667.06/x
  3. Step 3: Cross multiply
    12,353.99x = 18,526.39 × 7,667.06
  4. Step 4: Simplify right side
    12,353.99x = 142,042,831.91
  5. Step 5: Solve for x
    x = 142,042,831.91/12,353.99
  6. Step 6: Final answer
    x = 11,497.73

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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.