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Finding the Fourth Proportional to 23,309, 34,958.60 and 7,515.48

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Solution

The fourth proportional to 23,309, 34,958.60 and 7,515.48 is: 11,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309 : 34,958.60 = 7,515.48 : x
  2. Step 2: Convert to fraction form
    23,309/34,958.60 = 7,515.48/x
  3. Step 3: Cross multiply
    23,309x = 34,958.60 × 7,515.48
  4. Step 4: Simplify right side
    23,309x = 262,730,659.13
  5. Step 5: Solve for x
    x = 262,730,659.13/23,309
  6. Step 6: Final answer
    x = 11,271.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.