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Finding the Fourth Proportional to 13,831.65, 20,742.67 and 8,558.60

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Solution

The fourth proportional to 13,831.65, 20,742.67 and 8,558.60 is: 12,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.65 : 20,742.67 = 8,558.60 : x
  2. Step 2: Convert to fraction form
    13,831.65/20,742.67 = 8,558.60/x
  3. Step 3: Cross multiply
    13,831.65x = 20,742.67 × 8,558.60
  4. Step 4: Simplify right side
    13,831.65x = 177,528,122.45
  5. Step 5: Solve for x
    x = 177,528,122.45/13,831.65
  6. Step 6: Final answer
    x = 12,834.92

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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.