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Finding the Fourth Proportional to 19,449, 29,148.84 and 12,426.30

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Solution

The fourth proportional to 19,449, 29,148.84 and 12,426.30 is: 18,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,449 : 29,148.84 = 12,426.30 : x
  2. Step 2: Convert to fraction form
    19,449/29,148.84 = 12,426.30/x
  3. Step 3: Cross multiply
    19,449x = 29,148.84 × 12,426.30
  4. Step 4: Simplify right side
    19,449x = 362,212,230.49
  5. Step 5: Solve for x
    x = 362,212,230.49/19,449
  6. Step 6: Final answer
    x = 18,623.69

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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.