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Finding the Fourth Proportional to 17,731.93, 24,470.07 and 9,774.33

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Solution

The fourth proportional to 17,731.93, 24,470.07 and 9,774.33 is: 13,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.93 : 24,470.07 = 9,774.33 : x
  2. Step 2: Convert to fraction form
    17,731.93/24,470.07 = 9,774.33/x
  3. Step 3: Cross multiply
    17,731.93x = 24,470.07 × 9,774.33
  4. Step 4: Simplify right side
    17,731.93x = 239,178,539.30
  5. Step 5: Solve for x
    x = 239,178,539.30/17,731.93
  6. Step 6: Final answer
    x = 13,488.58

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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.