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Finding the Fourth Proportional to 17,764.49, 26,638.99 and 9,442.51

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Solution

The fourth proportional to 17,764.49, 26,638.99 and 9,442.51 is: 14,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.49 : 26,638.99 = 9,442.51 : x
  2. Step 2: Convert to fraction form
    17,764.49/26,638.99 = 9,442.51/x
  3. Step 3: Cross multiply
    17,764.49x = 26,638.99 × 9,442.51
  4. Step 4: Simplify right side
    17,764.49x = 251,538,839.26
  5. Step 5: Solve for x
    x = 251,538,839.26/17,764.49
  6. Step 6: Final answer
    x = 14,159.64

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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.