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Finding the Fourth Proportional to 14,582.27, 21,868.03 and 5,219.75

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Solution

The fourth proportional to 14,582.27, 21,868.03 and 5,219.75 is: 7,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.27 : 21,868.03 = 5,219.75 : x
  2. Step 2: Convert to fraction form
    14,582.27/21,868.03 = 5,219.75/x
  3. Step 3: Cross multiply
    14,582.27x = 21,868.03 × 5,219.75
  4. Step 4: Simplify right side
    14,582.27x = 114,145,649.59
  5. Step 5: Solve for x
    x = 114,145,649.59/14,582.27
  6. Step 6: Final answer
    x = 7,827.70

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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.