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Finding the Fourth Proportional to 27,465, 41,173.07 and 9,930.93

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Solution

The fourth proportional to 27,465, 41,173.07 and 9,930.93 is: 14,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465 : 41,173.07 = 9,930.93 : x
  2. Step 2: Convert to fraction form
    27,465/41,173.07 = 9,930.93/x
  3. Step 3: Cross multiply
    27,465x = 41,173.07 × 9,930.93
  4. Step 4: Simplify right side
    27,465x = 408,886,826.40
  5. Step 5: Solve for x
    x = 408,886,826.40/27,465
  6. Step 6: Final answer
    x = 14,887.56

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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.