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Finding the Fourth Proportional to 16,345.24, 24,495.16 and 8,538.46

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Solution

The fourth proportional to 16,345.24, 24,495.16 and 8,538.46 is: 12,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345.24 : 24,495.16 = 8,538.46 : x
  2. Step 2: Convert to fraction form
    16,345.24/24,495.16 = 8,538.46/x
  3. Step 3: Cross multiply
    16,345.24x = 24,495.16 × 8,538.46
  4. Step 4: Simplify right side
    16,345.24x = 209,150,943.85
  5. Step 5: Solve for x
    x = 209,150,943.85/16,345.24
  6. Step 6: Final answer
    x = 12,795.83

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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.