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Finding the Fourth Proportional to 19,653.48, 29,456.99 and 19,434.24

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Solution

The fourth proportional to 19,653.48, 29,456.99 and 19,434.24 is: 29,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653.48 : 29,456.99 = 19,434.24 : x
  2. Step 2: Convert to fraction form
    19,653.48/29,456.99 = 19,434.24/x
  3. Step 3: Cross multiply
    19,653.48x = 29,456.99 × 19,434.24
  4. Step 4: Simplify right side
    19,653.48x = 572,474,066.05
  5. Step 5: Solve for x
    x = 572,474,066.05/19,653.48
  6. Step 6: Final answer
    x = 29,128.39

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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.