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Finding the Fourth Proportional to 19,781.76, 27,311.56 and 17,653.64

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Solution

The fourth proportional to 19,781.76, 27,311.56 and 17,653.64 is: 24,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.76 : 27,311.56 = 17,653.64 : x
  2. Step 2: Convert to fraction form
    19,781.76/27,311.56 = 17,653.64/x
  3. Step 3: Cross multiply
    19,781.76x = 27,311.56 × 17,653.64
  4. Step 4: Simplify right side
    19,781.76x = 482,148,267.39
  5. Step 5: Solve for x
    x = 482,148,267.39/19,781.76
  6. Step 6: Final answer
    x = 24,373.38

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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.