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Finding the Fourth Proportional to 15,753.23, 23,621.63 and 7,431.01

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Solution

The fourth proportional to 15,753.23, 23,621.63 and 7,431.01 is: 11,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753.23 : 23,621.63 = 7,431.01 : x
  2. Step 2: Convert to fraction form
    15,753.23/23,621.63 = 7,431.01/x
  3. Step 3: Cross multiply
    15,753.23x = 23,621.63 × 7,431.01
  4. Step 4: Simplify right side
    15,753.23x = 175,532,528.27
  5. Step 5: Solve for x
    x = 175,532,528.27/15,753.23
  6. Step 6: Final answer
    x = 11,142.64

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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.