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Finding the Fourth Proportional to 19,585, 27,027.30 and 10,753

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Solution

The fourth proportional to 19,585, 27,027.30 and 10,753 is: 14,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585 : 27,027.30 = 10,753 : x
  2. Step 2: Convert to fraction form
    19,585/27,027.30 = 10,753/x
  3. Step 3: Cross multiply
    19,585x = 27,027.30 × 10,753
  4. Step 4: Simplify right side
    19,585x = 290,624,556.90
  5. Step 5: Solve for x
    x = 290,624,556.90/19,585
  6. Step 6: Final answer
    x = 14,839.14

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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.