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Finding the Fourth Proportional to 12,577.79, 17,356.51 and 6,912.42

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Solution

The fourth proportional to 12,577.79, 17,356.51 and 6,912.42 is: 9,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.79 : 17,356.51 = 6,912.42 : x
  2. Step 2: Convert to fraction form
    12,577.79/17,356.51 = 6,912.42/x
  3. Step 3: Cross multiply
    12,577.79x = 17,356.51 × 6,912.42
  4. Step 4: Simplify right side
    12,577.79x = 119,975,365.51
  5. Step 5: Solve for x
    x = 119,975,365.51/12,577.79
  6. Step 6: Final answer
    x = 9,538.67

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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.