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Finding the Fourth Proportional to 19,395, 26,765.10 and 10,563

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Solution

The fourth proportional to 19,395, 26,765.10 and 10,563 is: 14,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,395 : 26,765.10 = 10,563 : x
  2. Step 2: Convert to fraction form
    19,395/26,765.10 = 10,563/x
  3. Step 3: Cross multiply
    19,395x = 26,765.10 × 10,563
  4. Step 4: Simplify right side
    19,395x = 282,719,751.30
  5. Step 5: Solve for x
    x = 282,719,751.30/19,395
  6. Step 6: Final answer
    x = 14,576.94

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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.