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Finding the Fourth Proportional to 14,630.06, 20,188.01 and 8,256.08

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Solution

The fourth proportional to 14,630.06, 20,188.01 and 8,256.08 is: 11,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630.06 : 20,188.01 = 8,256.08 : x
  2. Step 2: Convert to fraction form
    14,630.06/20,188.01 = 8,256.08/x
  3. Step 3: Cross multiply
    14,630.06x = 20,188.01 × 8,256.08
  4. Step 4: Simplify right side
    14,630.06x = 166,673,683.38
  5. Step 5: Solve for x
    x = 166,673,683.38/14,630.06
  6. Step 6: Final answer
    x = 11,392.55

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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.