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Finding the Fourth Proportional to 23,580.72, 35,361.36 and 9,720

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Solution

The fourth proportional to 23,580.72, 35,361.36 and 9,720 is: 14,575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.72 : 35,361.36 = 9,720 : x
  2. Step 2: Convert to fraction form
    23,580.72/35,361.36 = 9,720/x
  3. Step 3: Cross multiply
    23,580.72x = 35,361.36 × 9,720
  4. Step 4: Simplify right side
    23,580.72x = 343,712,419.20
  5. Step 5: Solve for x
    x = 343,712,419.20/23,580.72
  6. Step 6: Final answer
    x = 14,575.99

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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.