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Finding the Fourth Proportional to 19,670.68, 29,514.74 and 10,308.47

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Solution

The fourth proportional to 19,670.68, 29,514.74 and 10,308.47 is: 15,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.68 : 29,514.74 = 10,308.47 : x
  2. Step 2: Convert to fraction form
    19,670.68/29,514.74 = 10,308.47/x
  3. Step 3: Cross multiply
    19,670.68x = 29,514.74 × 10,308.47
  4. Step 4: Simplify right side
    19,670.68x = 304,251,612.73
  5. Step 5: Solve for x
    x = 304,251,612.73/19,670.68
  6. Step 6: Final answer
    x = 15,467.27

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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.