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Finding the Fourth Proportional to 14,890.16, 20,548.78 and 8,429.28

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Solution

The fourth proportional to 14,890.16, 20,548.78 and 8,429.28 is: 11,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,890.16 : 20,548.78 = 8,429.28 : x
  2. Step 2: Convert to fraction form
    14,890.16/20,548.78 = 8,429.28/x
  3. Step 3: Cross multiply
    14,890.16x = 20,548.78 × 8,429.28
  4. Step 4: Simplify right side
    14,890.16x = 173,211,420.28
  5. Step 5: Solve for x
    x = 173,211,420.28/14,890.16
  6. Step 6: Final answer
    x = 11,632.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.