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Finding the Fourth Proportional to 19,580.80, 27,009.18 and 11,617.38

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Solution

The fourth proportional to 19,580.80, 27,009.18 and 11,617.38 is: 16,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580.80 : 27,009.18 = 11,617.38 : x
  2. Step 2: Convert to fraction form
    19,580.80/27,009.18 = 11,617.38/x
  3. Step 3: Cross multiply
    19,580.80x = 27,009.18 × 11,617.38
  4. Step 4: Simplify right side
    19,580.80x = 313,775,907.55
  5. Step 5: Solve for x
    x = 313,775,907.55/19,580.80
  6. Step 6: Final answer
    x = 16,024.67

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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.