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Finding the Fourth Proportional to 20,577.79, 30,866.73 and 7,430.14

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Solution

The fourth proportional to 20,577.79, 30,866.73 and 7,430.14 is: 11,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.79 : 30,866.73 = 7,430.14 : x
  2. Step 2: Convert to fraction form
    20,577.79/30,866.73 = 7,430.14/x
  3. Step 3: Cross multiply
    20,577.79x = 30,866.73 × 7,430.14
  4. Step 4: Simplify right side
    20,577.79x = 229,344,125.24
  5. Step 5: Solve for x
    x = 229,344,125.24/20,577.79
  6. Step 6: Final answer
    x = 11,145.23

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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.