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Finding the Fourth Proportional to 16,586.65, 24,892.40 and 7,827.72

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Solution

The fourth proportional to 16,586.65, 24,892.40 and 7,827.72 is: 11,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.65 : 24,892.40 = 7,827.72 : x
  2. Step 2: Convert to fraction form
    16,586.65/24,892.40 = 7,827.72/x
  3. Step 3: Cross multiply
    16,586.65x = 24,892.40 × 7,827.72
  4. Step 4: Simplify right side
    16,586.65x = 194,850,737.33
  5. Step 5: Solve for x
    x = 194,850,737.33/16,586.65
  6. Step 6: Final answer
    x = 11,747.44

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1.5x scale

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.