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Finding the Fourth Proportional to 23,405.76, 35,108.64 and 9,564.48

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Solution

The fourth proportional to 23,405.76, 35,108.64 and 9,564.48 is: 14,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.76 : 35,108.64 = 9,564.48 : x
  2. Step 2: Convert to fraction form
    23,405.76/35,108.64 = 9,564.48/x
  3. Step 3: Cross multiply
    23,405.76x = 35,108.64 × 9,564.48
  4. Step 4: Simplify right side
    23,405.76x = 335,795,885.11
  5. Step 5: Solve for x
    x = 335,795,885.11/23,405.76
  6. Step 6: Final answer
    x = 14,346.72

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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.