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Finding the Fourth Proportional to 23,057.89, 34,595.34 and 9,024.64

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Solution

The fourth proportional to 23,057.89, 34,595.34 and 9,024.64 is: 13,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.89 : 34,595.34 = 9,024.64 : x
  2. Step 2: Convert to fraction form
    23,057.89/34,595.34 = 9,024.64/x
  3. Step 3: Cross multiply
    23,057.89x = 34,595.34 × 9,024.64
  4. Step 4: Simplify right side
    23,057.89x = 312,210,271.08
  5. Step 5: Solve for x
    x = 312,210,271.08/23,057.89
  6. Step 6: Final answer
    x = 13,540.28

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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.