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Finding the Fourth Proportional to 19,577.12, 29,365.92 and 5,726.40

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Solution

The fourth proportional to 19,577.12, 29,365.92 and 5,726.40 is: 8,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577.12 : 29,365.92 = 5,726.40 : x
  2. Step 2: Convert to fraction form
    19,577.12/29,365.92 = 5,726.40/x
  3. Step 3: Cross multiply
    19,577.12x = 29,365.92 × 5,726.40
  4. Step 4: Simplify right side
    19,577.12x = 168,161,004.29
  5. Step 5: Solve for x
    x = 168,161,004.29/19,577.12
  6. Step 6: Final answer
    x = 8,589.67

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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.