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Finding the Fourth Proportional to 23,604.34, 35,406.61 and 9,564.64

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Solution

The fourth proportional to 23,604.34, 35,406.61 and 9,564.64 is: 14,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.34 : 35,406.61 = 9,564.64 : x
  2. Step 2: Convert to fraction form
    23,604.34/35,406.61 = 9,564.64/x
  3. Step 3: Cross multiply
    23,604.34x = 35,406.61 × 9,564.64
  4. Step 4: Simplify right side
    23,604.34x = 338,651,478.27
  5. Step 5: Solve for x
    x = 338,651,478.27/23,604.34
  6. Step 6: Final answer
    x = 14,347.00

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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.