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Finding the Fourth Proportional to 19,952.64, 29,919.76 and 5,907.64

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Solution

The fourth proportional to 19,952.64, 29,919.76 and 5,907.64 is: 8,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.64 : 29,919.76 = 5,907.64 : x
  2. Step 2: Convert to fraction form
    19,952.64/29,919.76 = 5,907.64/x
  3. Step 3: Cross multiply
    19,952.64x = 29,919.76 × 5,907.64
  4. Step 4: Simplify right side
    19,952.64x = 176,755,170.97
  5. Step 5: Solve for x
    x = 176,755,170.97/19,952.64
  6. Step 6: Final answer
    x = 8,858.74

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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.