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Finding the Fourth Proportional to 15,820.50, 23,719.03 and 9,579.04

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Solution

The fourth proportional to 15,820.50, 23,719.03 and 9,579.04 is: 14,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.50 : 23,719.03 = 9,579.04 : x
  2. Step 2: Convert to fraction form
    15,820.50/23,719.03 = 9,579.04/x
  3. Step 3: Cross multiply
    15,820.50x = 23,719.03 × 9,579.04
  4. Step 4: Simplify right side
    15,820.50x = 227,205,537.13
  5. Step 5: Solve for x
    x = 227,205,537.13/15,820.50
  6. Step 6: Final answer
    x = 14,361.47

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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.