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Finding the Fourth Proportional to 17,738.14, 26,608.02 and 6,051.46

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Solution

The fourth proportional to 17,738.14, 26,608.02 and 6,051.46 is: 9,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.14 : 26,608.02 = 6,051.46 : x
  2. Step 2: Convert to fraction form
    17,738.14/26,608.02 = 6,051.46/x
  3. Step 3: Cross multiply
    17,738.14x = 26,608.02 × 6,051.46
  4. Step 4: Simplify right side
    17,738.14x = 161,017,368.71
  5. Step 5: Solve for x
    x = 161,017,368.71/17,738.14
  6. Step 6: Final answer
    x = 9,077.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.