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Finding the Fourth Proportional to 11,666.12, 17,499.12 and 9,714.20

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Solution

The fourth proportional to 11,666.12, 17,499.12 and 9,714.20 is: 14,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.12 : 17,499.12 = 9,714.20 : x
  2. Step 2: Convert to fraction form
    11,666.12/17,499.12 = 9,714.20/x
  3. Step 3: Cross multiply
    11,666.12x = 17,499.12 × 9,714.20
  4. Step 4: Simplify right side
    11,666.12x = 169,989,951.50
  5. Step 5: Solve for x
    x = 169,989,951.50/11,666.12
  6. Step 6: Final answer
    x = 14,571.25

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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.