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Finding the Fourth Proportional to 19,909.26, 27,475.02 and 11,411.76

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Solution

The fourth proportional to 19,909.26, 27,475.02 and 11,411.76 is: 15,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.26 : 27,475.02 = 11,411.76 : x
  2. Step 2: Convert to fraction form
    19,909.26/27,475.02 = 11,411.76/x
  3. Step 3: Cross multiply
    19,909.26x = 27,475.02 × 11,411.76
  4. Step 4: Simplify right side
    19,909.26x = 313,538,334.24
  5. Step 5: Solve for x
    x = 313,538,334.24/19,909.26
  6. Step 6: Final answer
    x = 15,748.37

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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.