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Finding the Fourth Proportional to 19,588, 27,031.44 and 11,204.50

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Solution

The fourth proportional to 19,588, 27,031.44 and 11,204.50 is: 15,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588 : 27,031.44 = 11,204.50 : x
  2. Step 2: Convert to fraction form
    19,588/27,031.44 = 11,204.50/x
  3. Step 3: Cross multiply
    19,588x = 27,031.44 × 11,204.50
  4. Step 4: Simplify right side
    19,588x = 302,873,769.48
  5. Step 5: Solve for x
    x = 302,873,769.48/19,588
  6. Step 6: Final answer
    x = 15,462.21

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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.