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Finding the Fourth Proportional to 16,585.65, 24,890.90 and 7,826.72

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Solution

The fourth proportional to 16,585.65, 24,890.90 and 7,826.72 is: 11,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.65 : 24,890.90 = 7,826.72 : x
  2. Step 2: Convert to fraction form
    16,585.65/24,890.90 = 7,826.72/x
  3. Step 3: Cross multiply
    16,585.65x = 24,890.90 × 7,826.72
  4. Step 4: Simplify right side
    16,585.65x = 194,813,941.26
  5. Step 5: Solve for x
    x = 194,813,941.26/16,585.65
  6. Step 6: Final answer
    x = 11,745.93

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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.