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Finding the Fourth Proportional to 14,544.38, 21,816.64 and 5,779.32

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Solution

The fourth proportional to 14,544.38, 21,816.64 and 5,779.32 is: 8,669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.38 : 21,816.64 = 5,779.32 : x
  2. Step 2: Convert to fraction form
    14,544.38/21,816.64 = 5,779.32/x
  3. Step 3: Cross multiply
    14,544.38x = 21,816.64 × 5,779.32
  4. Step 4: Simplify right side
    14,544.38x = 126,085,269.30
  5. Step 5: Solve for x
    x = 126,085,269.30/14,544.38
  6. Step 6: Final answer
    x = 8,669.00

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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.