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Finding the Fourth Proportional to 17,365, 26,051.82 and 5,053

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Solution

The fourth proportional to 17,365, 26,051.82 and 5,053 is: 7,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,365 : 26,051.82 = 5,053 : x
  2. Step 2: Convert to fraction form
    17,365/26,051.82 = 5,053/x
  3. Step 3: Cross multiply
    17,365x = 26,051.82 × 5,053
  4. Step 4: Simplify right side
    17,365x = 131,639,846.46
  5. Step 5: Solve for x
    x = 131,639,846.46/17,365
  6. Step 6: Final answer
    x = 7,580.76

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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.