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Finding the Fourth Proportional to 21,029.36, 31,498.81 and 9,919.40

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Solution

The fourth proportional to 21,029.36, 31,498.81 and 9,919.40 is: 14,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.36 : 31,498.81 = 9,919.40 : x
  2. Step 2: Convert to fraction form
    21,029.36/31,498.81 = 9,919.40/x
  3. Step 3: Cross multiply
    21,029.36x = 31,498.81 × 9,919.40
  4. Step 4: Simplify right side
    21,029.36x = 312,449,113.62
  5. Step 5: Solve for x
    x = 312,449,113.62/21,029.36
  6. Step 6: Final answer
    x = 14,857.76

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