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Finding the Fourth Proportional to 19,537.74, 29,326.96 and 9,684.08

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Solution

The fourth proportional to 19,537.74, 29,326.96 and 9,684.08 is: 14,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.74 : 29,326.96 = 9,684.08 : x
  2. Step 2: Convert to fraction form
    19,537.74/29,326.96 = 9,684.08/x
  3. Step 3: Cross multiply
    19,537.74x = 29,326.96 × 9,684.08
  4. Step 4: Simplify right side
    19,537.74x = 284,004,626.80
  5. Step 5: Solve for x
    x = 284,004,626.80/19,537.74
  6. Step 6: Final answer
    x = 14,536.21

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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.