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Finding the Fourth Proportional to 19,776.33, 29,668.47 and 7,296.42

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Solution

The fourth proportional to 19,776.33, 29,668.47 and 7,296.42 is: 10,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.33 : 29,668.47 = 7,296.42 : x
  2. Step 2: Convert to fraction form
    19,776.33/29,668.47 = 7,296.42/x
  3. Step 3: Cross multiply
    19,776.33x = 29,668.47 × 7,296.42
  4. Step 4: Simplify right side
    19,776.33x = 216,473,617.88
  5. Step 5: Solve for x
    x = 216,473,617.88/19,776.33
  6. Step 6: Final answer
    x = 10,946.10

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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.