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Finding the Fourth Proportional to 28,005.42, 42,008.64 and 8,283.96

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Solution

The fourth proportional to 28,005.42, 42,008.64 and 8,283.96 is: 12,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.42 : 42,008.64 = 8,283.96 : x
  2. Step 2: Convert to fraction form
    28,005.42/42,008.64 = 8,283.96/x
  3. Step 3: Cross multiply
    28,005.42x = 42,008.64 × 8,283.96
  4. Step 4: Simplify right side
    28,005.42x = 347,997,893.41
  5. Step 5: Solve for x
    x = 347,997,893.41/28,005.42
  6. Step 6: Final answer
    x = 12,426.09

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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.