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Finding the Fourth Proportional to 16,442.94, 24,666.76 and 5,346.04

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Solution

The fourth proportional to 16,442.94, 24,666.76 and 5,346.04 is: 8,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.94 : 24,666.76 = 5,346.04 : x
  2. Step 2: Convert to fraction form
    16,442.94/24,666.76 = 5,346.04/x
  3. Step 3: Cross multiply
    16,442.94x = 24,666.76 × 5,346.04
  4. Step 4: Simplify right side
    16,442.94x = 131,869,485.63
  5. Step 5: Solve for x
    x = 131,869,485.63/16,442.94
  6. Step 6: Final answer
    x = 8,019.82

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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.