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Finding the Fourth Proportional to 17,964, 24,790.32 and 10,512

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Solution

The fourth proportional to 17,964, 24,790.32 and 10,512 is: 14,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,964 : 24,790.32 = 10,512 : x
  2. Step 2: Convert to fraction form
    17,964/24,790.32 = 10,512/x
  3. Step 3: Cross multiply
    17,964x = 24,790.32 × 10,512
  4. Step 4: Simplify right side
    17,964x = 260,595,843.84
  5. Step 5: Solve for x
    x = 260,595,843.84/17,964
  6. Step 6: Final answer
    x = 14,506.56

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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.