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Finding the Fourth Proportional to 17,668.79, 24,382.65 and 9,710.84

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Solution

The fourth proportional to 17,668.79, 24,382.65 and 9,710.84 is: 13,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.79 : 24,382.65 = 9,710.84 : x
  2. Step 2: Convert to fraction form
    17,668.79/24,382.65 = 9,710.84/x
  3. Step 3: Cross multiply
    17,668.79x = 24,382.65 × 9,710.84
  4. Step 4: Simplify right side
    17,668.79x = 236,776,012.93
  5. Step 5: Solve for x
    x = 236,776,012.93/17,668.79
  6. Step 6: Final answer
    x = 13,400.81

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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.