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Finding the Fourth Proportional to 28,006.94, 42,010.41 and 16,178.72

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Solution

The fourth proportional to 28,006.94, 42,010.41 and 16,178.72 is: 24,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,006.94 : 42,010.41 = 16,178.72 : x
  2. Step 2: Convert to fraction form
    28,006.94/42,010.41 = 16,178.72/x
  3. Step 3: Cross multiply
    28,006.94x = 42,010.41 × 16,178.72
  4. Step 4: Simplify right side
    28,006.94x = 679,674,450.42
  5. Step 5: Solve for x
    x = 679,674,450.42/28,006.94
  6. Step 6: Final answer
    x = 24,268.07

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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.