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Finding the Fourth Proportional to 23,145.63, 34,720.25 and 7,564.83

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Solution

The fourth proportional to 23,145.63, 34,720.25 and 7,564.83 is: 11,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.63 : 34,720.25 = 7,564.83 : x
  2. Step 2: Convert to fraction form
    23,145.63/34,720.25 = 7,564.83/x
  3. Step 3: Cross multiply
    23,145.63x = 34,720.25 × 7,564.83
  4. Step 4: Simplify right side
    23,145.63x = 262,652,750.98
  5. Step 5: Solve for x
    x = 262,652,750.98/23,145.63
  6. Step 6: Final answer
    x = 11,347.83

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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.