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Finding the Fourth Proportional to 19,578.53, 27,031.38 and 11,623.31

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Solution

The fourth proportional to 19,578.53, 27,031.38 and 11,623.31 is: 16,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.53 : 27,031.38 = 11,623.31 : x
  2. Step 2: Convert to fraction form
    19,578.53/27,031.38 = 11,623.31/x
  3. Step 3: Cross multiply
    19,578.53x = 27,031.38 × 11,623.31
  4. Step 4: Simplify right side
    19,578.53x = 314,194,109.47
  5. Step 5: Solve for x
    x = 314,194,109.47/19,578.53
  6. Step 6: Final answer
    x = 16,047.89

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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.