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Finding the Fourth Proportional to 19,588.39, 27,031.93 and 10,635.80

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Solution

The fourth proportional to 19,588.39, 27,031.93 and 10,635.80 is: 14,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588.39 : 27,031.93 = 10,635.80 : x
  2. Step 2: Convert to fraction form
    19,588.39/27,031.93 = 10,635.80/x
  3. Step 3: Cross multiply
    19,588.39x = 27,031.93 × 10,635.80
  4. Step 4: Simplify right side
    19,588.39x = 287,506,201.09
  5. Step 5: Solve for x
    x = 287,506,201.09/19,588.39
  6. Step 6: Final answer
    x = 14,677.38

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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.