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Finding the Fourth Proportional to 16,516.94, 24,779.73 and 9,585.50

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Solution

The fourth proportional to 16,516.94, 24,779.73 and 9,585.50 is: 14,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.94 : 24,779.73 = 9,585.50 : x
  2. Step 2: Convert to fraction form
    16,516.94/24,779.73 = 9,585.50/x
  3. Step 3: Cross multiply
    16,516.94x = 24,779.73 × 9,585.50
  4. Step 4: Simplify right side
    16,516.94x = 237,526,101.92
  5. Step 5: Solve for x
    x = 237,526,101.92/16,516.94
  6. Step 6: Final answer
    x = 14,380.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.