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Finding the Fourth Proportional to 13,089.40, 19,633.62 and 5,693.86

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Solution

The fourth proportional to 13,089.40, 19,633.62 and 5,693.86 is: 8,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.40 : 19,633.62 = 5,693.86 : x
  2. Step 2: Convert to fraction form
    13,089.40/19,633.62 = 5,693.86/x
  3. Step 3: Cross multiply
    13,089.40x = 19,633.62 × 5,693.86
  4. Step 4: Simplify right side
    13,089.40x = 111,791,129.47
  5. Step 5: Solve for x
    x = 111,791,129.47/13,089.40
  6. Step 6: Final answer
    x = 8,540.59

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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.