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Finding the Fourth Proportional to 24,157.54, 36,232.11 and 6,388.40

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Solution

The fourth proportional to 24,157.54, 36,232.11 and 6,388.40 is: 9,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157.54 : 36,232.11 = 6,388.40 : x
  2. Step 2: Convert to fraction form
    24,157.54/36,232.11 = 6,388.40/x
  3. Step 3: Cross multiply
    24,157.54x = 36,232.11 × 6,388.40
  4. Step 4: Simplify right side
    24,157.54x = 231,465,302.10
  5. Step 5: Solve for x
    x = 231,465,302.10/24,157.54
  6. Step 6: Final answer
    x = 9,581.49

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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.