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Finding the Fourth Proportional to 19,668.51, 29,512.26 and 9,809.19

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Solution

The fourth proportional to 19,668.51, 29,512.26 and 9,809.19 is: 14,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668.51 : 29,512.26 = 9,809.19 : x
  2. Step 2: Convert to fraction form
    19,668.51/29,512.26 = 9,809.19/x
  3. Step 3: Cross multiply
    19,668.51x = 29,512.26 × 9,809.19
  4. Step 4: Simplify right side
    19,668.51x = 289,491,365.67
  5. Step 5: Solve for x
    x = 289,491,365.67/19,668.51
  6. Step 6: Final answer
    x = 14,718.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.