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Finding the Fourth Proportional to 19,684, 29,374.82 and 17,582.08

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Solution

The fourth proportional to 19,684, 29,374.82 and 17,582.08 is: 26,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684 : 29,374.82 = 17,582.08 : x
  2. Step 2: Convert to fraction form
    19,684/29,374.82 = 17,582.08/x
  3. Step 3: Cross multiply
    19,684x = 29,374.82 × 17,582.08
  4. Step 4: Simplify right side
    19,684x = 516,470,435.23
  5. Step 5: Solve for x
    x = 516,470,435.23/19,684
  6. Step 6: Final answer
    x = 26,238.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.