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Finding the Fourth Proportional to 17,026, 25,547.64 and 7,794.32

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Solution

The fourth proportional to 17,026, 25,547.64 and 7,794.32 is: 11,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,026 : 25,547.64 = 7,794.32 : x
  2. Step 2: Convert to fraction form
    17,026/25,547.64 = 7,794.32/x
  3. Step 3: Cross multiply
    17,026x = 25,547.64 × 7,794.32
  4. Step 4: Simplify right side
    17,026x = 199,126,481.40
  5. Step 5: Solve for x
    x = 199,126,481.40/17,026
  6. Step 6: Final answer
    x = 11,695.44

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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.