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Finding the Fourth Proportional to 13,545.81, 20,313.47 and 4,659.46

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Solution

The fourth proportional to 13,545.81, 20,313.47 and 4,659.46 is: 6,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.81 : 20,313.47 = 4,659.46 : x
  2. Step 2: Convert to fraction form
    13,545.81/20,313.47 = 4,659.46/x
  3. Step 3: Cross multiply
    13,545.81x = 20,313.47 × 4,659.46
  4. Step 4: Simplify right side
    13,545.81x = 94,649,761.79
  5. Step 5: Solve for x
    x = 94,649,761.79/13,545.81
  6. Step 6: Final answer
    x = 6,987.38

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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.