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Finding the Fourth Proportional to 23,567.61, 35,343.91 and 7,769.70

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Solution

The fourth proportional to 23,567.61, 35,343.91 and 7,769.70 is: 11,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.61 : 35,343.91 = 7,769.70 : x
  2. Step 2: Convert to fraction form
    23,567.61/35,343.91 = 7,769.70/x
  3. Step 3: Cross multiply
    23,567.61x = 35,343.91 × 7,769.70
  4. Step 4: Simplify right side
    23,567.61x = 274,611,558.10
  5. Step 5: Solve for x
    x = 274,611,558.10/23,567.61
  6. Step 6: Final answer
    x = 11,652.07

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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.