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Finding the Fourth Proportional to 19,514.65, 29,260.12 and 7,654.22

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Solution

The fourth proportional to 19,514.65, 29,260.12 and 7,654.22 is: 11,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514.65 : 29,260.12 = 7,654.22 : x
  2. Step 2: Convert to fraction form
    19,514.65/29,260.12 = 7,654.22/x
  3. Step 3: Cross multiply
    19,514.65x = 29,260.12 × 7,654.22
  4. Step 4: Simplify right side
    19,514.65x = 223,963,395.71
  5. Step 5: Solve for x
    x = 223,963,395.71/19,514.65
  6. Step 6: Final answer
    x = 11,476.68

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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.