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Finding the Fourth Proportional to 17,926.74, 24,739.42 and 9,969.46

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Solution

The fourth proportional to 17,926.74, 24,739.42 and 9,969.46 is: 13,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,926.74 : 24,739.42 = 9,969.46 : x
  2. Step 2: Convert to fraction form
    17,926.74/24,739.42 = 9,969.46/x
  3. Step 3: Cross multiply
    17,926.74x = 24,739.42 × 9,969.46
  4. Step 4: Simplify right side
    17,926.74x = 246,638,658.11
  5. Step 5: Solve for x
    x = 246,638,658.11/17,926.74
  6. Step 6: Final answer
    x = 13,758.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.