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Finding the Fourth Proportional to 11,606.16, 17,387.40 and 9,769.20

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Solution

The fourth proportional to 11,606.16, 17,387.40 and 9,769.20 is: 14,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.16 : 17,387.40 = 9,769.20 : x
  2. Step 2: Convert to fraction form
    11,606.16/17,387.40 = 9,769.20/x
  3. Step 3: Cross multiply
    11,606.16x = 17,387.40 × 9,769.20
  4. Step 4: Simplify right side
    11,606.16x = 169,860,988.08
  5. Step 5: Solve for x
    x = 169,860,988.08/11,606.16
  6. Step 6: Final answer
    x = 14,635.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.