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Finding the Fourth Proportional to 17,007.64, 25,493.90 and 12,316.02

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Solution

The fourth proportional to 17,007.64, 25,493.90 and 12,316.02 is: 18,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007.64 : 25,493.90 = 12,316.02 : x
  2. Step 2: Convert to fraction form
    17,007.64/25,493.90 = 12,316.02/x
  3. Step 3: Cross multiply
    17,007.64x = 25,493.90 × 12,316.02
  4. Step 4: Simplify right side
    17,007.64x = 313,983,382.28
  5. Step 5: Solve for x
    x = 313,983,382.28/17,007.64
  6. Step 6: Final answer
    x = 18,461.31

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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.