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Finding the Fourth Proportional to 19,684.44, 29,526.54 and 6,537.80

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Solution

The fourth proportional to 19,684.44, 29,526.54 and 6,537.80 is: 9,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.44 : 29,526.54 = 6,537.80 : x
  2. Step 2: Convert to fraction form
    19,684.44/29,526.54 = 6,537.80/x
  3. Step 3: Cross multiply
    19,684.44x = 29,526.54 × 6,537.80
  4. Step 4: Simplify right side
    19,684.44x = 193,038,613.21
  5. Step 5: Solve for x
    x = 193,038,613.21/19,684.44
  6. Step 6: Final answer
    x = 9,806.66

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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.