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Finding the Fourth Proportional to 16,166.40, 24,271.20 and 12,883.20

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Solution

The fourth proportional to 16,166.40, 24,271.20 and 12,883.20 is: 19,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.40 : 24,271.20 = 12,883.20 : x
  2. Step 2: Convert to fraction form
    16,166.40/24,271.20 = 12,883.20/x
  3. Step 3: Cross multiply
    16,166.40x = 24,271.20 × 12,883.20
  4. Step 4: Simplify right side
    16,166.40x = 312,690,723.84
  5. Step 5: Solve for x
    x = 312,690,723.84/16,166.40
  6. Step 6: Final answer
    x = 19,342.01

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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.