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Finding the Fourth Proportional to 23,564.85, 35,347.59 and 7,771.51

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Solution

The fourth proportional to 23,564.85, 35,347.59 and 7,771.51 is: 11,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.85 : 35,347.59 = 7,771.51 : x
  2. Step 2: Convert to fraction form
    23,564.85/35,347.59 = 7,771.51/x
  3. Step 3: Cross multiply
    23,564.85x = 35,347.59 × 7,771.51
  4. Step 4: Simplify right side
    23,564.85x = 274,704,149.16
  5. Step 5: Solve for x
    x = 274,704,149.16/23,564.85
  6. Step 6: Final answer
    x = 11,657.37

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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.