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Finding the Fourth Proportional to 19,542.68, 29,320.50 and 12,994.64

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Solution

The fourth proportional to 19,542.68, 29,320.50 and 12,994.64 is: 19,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542.68 : 29,320.50 = 12,994.64 : x
  2. Step 2: Convert to fraction form
    19,542.68/29,320.50 = 12,994.64/x
  3. Step 3: Cross multiply
    19,542.68x = 29,320.50 × 12,994.64
  4. Step 4: Simplify right side
    19,542.68x = 381,009,342.12
  5. Step 5: Solve for x
    x = 381,009,342.12/19,542.68
  6. Step 6: Final answer
    x = 19,496.27

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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.