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Finding the Fourth Proportional to 19,642.08, 29,467.92 and 9,783.84

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Solution

The fourth proportional to 19,642.08, 29,467.92 and 9,783.84 is: 14,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.08 : 29,467.92 = 9,783.84 : x
  2. Step 2: Convert to fraction form
    19,642.08/29,467.92 = 9,783.84/x
  3. Step 3: Cross multiply
    19,642.08x = 29,467.92 × 9,783.84
  4. Step 4: Simplify right side
    19,642.08x = 288,309,414.41
  5. Step 5: Solve for x
    x = 288,309,414.41/19,642.08
  6. Step 6: Final answer
    x = 14,678.15

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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.