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Finding the Fourth Proportional to 14,683.28, 21,986 and 8,831.84

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Solution

The fourth proportional to 14,683.28, 21,986 and 8,831.84 is: 13,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.28 : 21,986 = 8,831.84 : x
  2. Step 2: Convert to fraction form
    14,683.28/21,986 = 8,831.84/x
  3. Step 3: Cross multiply
    14,683.28x = 21,986 × 8,831.84
  4. Step 4: Simplify right side
    14,683.28x = 194,176,834.24
  5. Step 5: Solve for x
    x = 194,176,834.24/14,683.28
  6. Step 6: Final answer
    x = 13,224.35

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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.