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Finding the Fourth Proportional to 14,714, 20,305.32 and 8,090

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Solution

The fourth proportional to 14,714, 20,305.32 and 8,090 is: 11,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714 : 20,305.32 = 8,090 : x
  2. Step 2: Convert to fraction form
    14,714/20,305.32 = 8,090/x
  3. Step 3: Cross multiply
    14,714x = 20,305.32 × 8,090
  4. Step 4: Simplify right side
    14,714x = 164,270,038.80
  5. Step 5: Solve for x
    x = 164,270,038.80/14,714
  6. Step 6: Final answer
    x = 11,164.20

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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.