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Finding the Fourth Proportional to 14,291.60, 19,720.61 and 7,917.30

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Solution

The fourth proportional to 14,291.60, 19,720.61 and 7,917.30 is: 10,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.60 : 19,720.61 = 7,917.30 : x
  2. Step 2: Convert to fraction form
    14,291.60/19,720.61 = 7,917.30/x
  3. Step 3: Cross multiply
    14,291.60x = 19,720.61 × 7,917.30
  4. Step 4: Simplify right side
    14,291.60x = 156,133,945.97
  5. Step 5: Solve for x
    x = 156,133,945.97/14,291.60
  6. Step 6: Final answer
    x = 10,924.88

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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.