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Finding the Fourth Proportional to 13,802, 19,046.76 and 7,514

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Solution

The fourth proportional to 13,802, 19,046.76 and 7,514 is: 10,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802 : 19,046.76 = 7,514 : x
  2. Step 2: Convert to fraction form
    13,802/19,046.76 = 7,514/x
  3. Step 3: Cross multiply
    13,802x = 19,046.76 × 7,514
  4. Step 4: Simplify right side
    13,802x = 143,117,354.64
  5. Step 5: Solve for x
    x = 143,117,354.64/13,802
  6. Step 6: Final answer
    x = 10,369.32

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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.