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Finding the Fourth Proportional to 17,577, 26,371.98 and 9,256.68

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Solution

The fourth proportional to 17,577, 26,371.98 and 9,256.68 is: 13,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577 : 26,371.98 = 9,256.68 : x
  2. Step 2: Convert to fraction form
    17,577/26,371.98 = 9,256.68/x
  3. Step 3: Cross multiply
    17,577x = 26,371.98 × 9,256.68
  4. Step 4: Simplify right side
    17,577x = 244,116,979.83
  5. Step 5: Solve for x
    x = 244,116,979.83/17,577
  6. Step 6: Final answer
    x = 13,888.43

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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.