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Finding the Fourth Proportional to 17,719.64, 26,567.04 and 7,853.56

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Solution

The fourth proportional to 17,719.64, 26,567.04 and 7,853.56 is: 11,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.64 : 26,567.04 = 7,853.56 : x
  2. Step 2: Convert to fraction form
    17,719.64/26,567.04 = 7,853.56/x
  3. Step 3: Cross multiply
    17,719.64x = 26,567.04 × 7,853.56
  4. Step 4: Simplify right side
    17,719.64x = 208,645,842.66
  5. Step 5: Solve for x
    x = 208,645,842.66/17,719.64
  6. Step 6: Final answer
    x = 11,774.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.