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Finding the Fourth Proportional to 14,176, 21,256.85 and 8,254.80

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Solution

The fourth proportional to 14,176, 21,256.85 and 8,254.80 is: 12,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176 : 21,256.85 = 8,254.80 : x
  2. Step 2: Convert to fraction form
    14,176/21,256.85 = 8,254.80/x
  3. Step 3: Cross multiply
    14,176x = 21,256.85 × 8,254.80
  4. Step 4: Simplify right side
    14,176x = 175,471,045.38
  5. Step 5: Solve for x
    x = 175,471,045.38/14,176
  6. Step 6: Final answer
    x = 12,378.04

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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.