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Finding the Fourth Proportional to 23,527.40, 35,277.66 and 9,665

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Solution

The fourth proportional to 23,527.40, 35,277.66 and 9,665 is: 14,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.40 : 35,277.66 = 9,665 : x
  2. Step 2: Convert to fraction form
    23,527.40/35,277.66 = 9,665/x
  3. Step 3: Cross multiply
    23,527.40x = 35,277.66 × 9,665
  4. Step 4: Simplify right side
    23,527.40x = 340,958,583.90
  5. Step 5: Solve for x
    x = 340,958,583.90/23,527.40
  6. Step 6: Final answer
    x = 14,491.98

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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.