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Finding the Fourth Proportional to 17,743.34, 24,486.93 and 9,785.58

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Solution

The fourth proportional to 17,743.34, 24,486.93 and 9,785.58 is: 13,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.34 : 24,486.93 = 9,785.58 : x
  2. Step 2: Convert to fraction form
    17,743.34/24,486.93 = 9,785.58/x
  3. Step 3: Cross multiply
    17,743.34x = 24,486.93 × 9,785.58
  4. Step 4: Simplify right side
    17,743.34x = 239,618,812.47
  5. Step 5: Solve for x
    x = 239,618,812.47/17,743.34
  6. Step 6: Final answer
    x = 13,504.72

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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.