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Finding the Fourth Proportional to 13,726.19, 20,570.81 and 5,403.96

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Solution

The fourth proportional to 13,726.19, 20,570.81 and 5,403.96 is: 8,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.19 : 20,570.81 = 5,403.96 : x
  2. Step 2: Convert to fraction form
    13,726.19/20,570.81 = 5,403.96/x
  3. Step 3: Cross multiply
    13,726.19x = 20,570.81 × 5,403.96
  4. Step 4: Simplify right side
    13,726.19x = 111,163,807.39
  5. Step 5: Solve for x
    x = 111,163,807.39/13,726.19
  6. Step 6: Final answer
    x = 8,098.67

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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.