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Finding the Fourth Proportional to 17,934.93, 24,749.87 and 9,977.09

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Solution

The fourth proportional to 17,934.93, 24,749.87 and 9,977.09 is: 13,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934.93 : 24,749.87 = 9,977.09 : x
  2. Step 2: Convert to fraction form
    17,934.93/24,749.87 = 9,977.09/x
  3. Step 3: Cross multiply
    17,934.93x = 24,749.87 × 9,977.09
  4. Step 4: Simplify right side
    17,934.93x = 246,931,506.84
  5. Step 5: Solve for x
    x = 246,931,506.84/17,934.93
  6. Step 6: Final answer
    x = 13,768.19

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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.