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Finding the Fourth Proportional to 17,738.19, 26,585.42 and 9,840.42

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Solution

The fourth proportional to 17,738.19, 26,585.42 and 9,840.42 is: 14,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.19 : 26,585.42 = 9,840.42 : x
  2. Step 2: Convert to fraction form
    17,738.19/26,585.42 = 9,840.42/x
  3. Step 3: Cross multiply
    17,738.19x = 26,585.42 × 9,840.42
  4. Step 4: Simplify right side
    17,738.19x = 261,611,649.47
  5. Step 5: Solve for x
    x = 261,611,649.47/17,738.19
  6. Step 6: Final answer
    x = 14,748.50

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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.