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Finding the Fourth Proportional to 14,097.38, 19,454.36 and 7,809.76

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Solution

The fourth proportional to 14,097.38, 19,454.36 and 7,809.76 is: 10,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.38 : 19,454.36 = 7,809.76 : x
  2. Step 2: Convert to fraction form
    14,097.38/19,454.36 = 7,809.76/x
  3. Step 3: Cross multiply
    14,097.38x = 19,454.36 × 7,809.76
  4. Step 4: Simplify right side
    14,097.38x = 151,933,882.55
  5. Step 5: Solve for x
    x = 151,933,882.55/14,097.38
  6. Step 6: Final answer
    x = 10,777.46

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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.