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Finding the Fourth Proportional to 19,106.64, 28,642.68 and 6,791.76

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Solution

The fourth proportional to 19,106.64, 28,642.68 and 6,791.76 is: 10,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,106.64 : 28,642.68 = 6,791.76 : x
  2. Step 2: Convert to fraction form
    19,106.64/28,642.68 = 6,791.76/x
  3. Step 3: Cross multiply
    19,106.64x = 28,642.68 × 6,791.76
  4. Step 4: Simplify right side
    19,106.64x = 194,534,208.32
  5. Step 5: Solve for x
    x = 194,534,208.32/19,106.64
  6. Step 6: Final answer
    x = 10,181.50

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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.