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Finding the Fourth Proportional to 16,005.42, 24,015.42 and 8,214.84

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Solution

The fourth proportional to 16,005.42, 24,015.42 and 8,214.84 is: 12,326.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.42 : 24,015.42 = 8,214.84 : x
  2. Step 2: Convert to fraction form
    16,005.42/24,015.42 = 8,214.84/x
  3. Step 3: Cross multiply
    16,005.42x = 24,015.42 × 8,214.84
  4. Step 4: Simplify right side
    16,005.42x = 197,282,832.83
  5. Step 5: Solve for x
    x = 197,282,832.83/16,005.42
  6. Step 6: Final answer
    x = 12,326.00

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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.