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Finding the Fourth Proportional to 19,605, 27,039.09 and 12,703.80

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Solution

The fourth proportional to 19,605, 27,039.09 and 12,703.80 is: 17,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605 : 27,039.09 = 12,703.80 : x
  2. Step 2: Convert to fraction form
    19,605/27,039.09 = 12,703.80/x
  3. Step 3: Cross multiply
    19,605x = 27,039.09 × 12,703.80
  4. Step 4: Simplify right side
    19,605x = 343,499,191.54
  5. Step 5: Solve for x
    x = 343,499,191.54/19,605
  6. Step 6: Final answer
    x = 17,521.00

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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.