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Finding the Fourth Proportional to 17,976.64, 24,807.89 and 10,019.38

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Solution

The fourth proportional to 17,976.64, 24,807.89 and 10,019.38 is: 13,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976.64 : 24,807.89 = 10,019.38 : x
  2. Step 2: Convert to fraction form
    17,976.64/24,807.89 = 10,019.38/x
  3. Step 3: Cross multiply
    17,976.64x = 24,807.89 × 10,019.38
  4. Step 4: Simplify right side
    17,976.64x = 248,559,676.91
  5. Step 5: Solve for x
    x = 248,559,676.91/17,976.64
  6. Step 6: Final answer
    x = 13,826.82

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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.