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Finding the Fourth Proportional to 24,405, 36,607.56 and 5,937

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Solution

The fourth proportional to 24,405, 36,607.56 and 5,937 is: 8,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405 : 36,607.56 = 5,937 : x
  2. Step 2: Convert to fraction form
    24,405/36,607.56 = 5,937/x
  3. Step 3: Cross multiply
    24,405x = 36,607.56 × 5,937
  4. Step 4: Simplify right side
    24,405x = 217,339,083.72
  5. Step 5: Solve for x
    x = 217,339,083.72/24,405
  6. Step 6: Final answer
    x = 8,905.51

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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.