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Finding the Fourth Proportional to 16,442.65, 24,663.81 and 7,089.28

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Solution

The fourth proportional to 16,442.65, 24,663.81 and 7,089.28 is: 10,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.65 : 24,663.81 = 7,089.28 : x
  2. Step 2: Convert to fraction form
    16,442.65/24,663.81 = 7,089.28/x
  3. Step 3: Cross multiply
    16,442.65x = 24,663.81 × 7,089.28
  4. Step 4: Simplify right side
    16,442.65x = 174,848,619.88
  5. Step 5: Solve for x
    x = 174,848,619.88/16,442.65
  6. Step 6: Final answer
    x = 10,633.85

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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.