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Finding the Fourth Proportional to 13,956, 19,259.28 and 7,668.42

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Solution

The fourth proportional to 13,956, 19,259.28 and 7,668.42 is: 10,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956 : 19,259.28 = 7,668.42 : x
  2. Step 2: Convert to fraction form
    13,956/19,259.28 = 7,668.42/x
  3. Step 3: Cross multiply
    13,956x = 19,259.28 × 7,668.42
  4. Step 4: Simplify right side
    13,956x = 147,688,247.94
  5. Step 5: Solve for x
    x = 147,688,247.94/13,956
  6. Step 6: Final answer
    x = 10,582.42

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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.