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Finding the Fourth Proportional to 12,609.81, 17,405.55 and 7,577.88

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Solution

The fourth proportional to 12,609.81, 17,405.55 and 7,577.88 is: 10,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.81 : 17,405.55 = 7,577.88 : x
  2. Step 2: Convert to fraction form
    12,609.81/17,405.55 = 7,577.88/x
  3. Step 3: Cross multiply
    12,609.81x = 17,405.55 × 7,577.88
  4. Step 4: Simplify right side
    12,609.81x = 131,897,169.23
  5. Step 5: Solve for x
    x = 131,897,169.23/12,609.81
  6. Step 6: Final answer
    x = 10,459.89

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