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Finding the Fourth Proportional to 27,937, 38,553.06 and 16,762.60

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Solution

The fourth proportional to 27,937, 38,553.06 and 16,762.60 is: 23,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937 : 38,553.06 = 16,762.60 : x
  2. Step 2: Convert to fraction form
    27,937/38,553.06 = 16,762.60/x
  3. Step 3: Cross multiply
    27,937x = 38,553.06 × 16,762.60
  4. Step 4: Simplify right side
    27,937x = 646,249,523.56
  5. Step 5: Solve for x
    x = 646,249,523.56/27,937
  6. Step 6: Final answer
    x = 23,132.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.