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Finding the Fourth Proportional to 23,353.81, 35,036.84 and 7,771.57

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Solution

The fourth proportional to 23,353.81, 35,036.84 and 7,771.57 is: 11,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.81 : 35,036.84 = 7,771.57 : x
  2. Step 2: Convert to fraction form
    23,353.81/35,036.84 = 7,771.57/x
  3. Step 3: Cross multiply
    23,353.81x = 35,036.84 × 7,771.57
  4. Step 4: Simplify right side
    23,353.81x = 272,291,254.64
  5. Step 5: Solve for x
    x = 272,291,254.64/23,353.81
  6. Step 6: Final answer
    x = 11,659.39

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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.