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Finding the Fourth Proportional to 14,544.34, 21,824.34 and 5,779.33

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Solution

The fourth proportional to 14,544.34, 21,824.34 and 5,779.33 is: 8,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.34 : 21,824.34 = 5,779.33 : x
  2. Step 2: Convert to fraction form
    14,544.34/21,824.34 = 5,779.33/x
  3. Step 3: Cross multiply
    14,544.34x = 21,824.34 × 5,779.33
  4. Step 4: Simplify right side
    14,544.34x = 126,130,062.89
  5. Step 5: Solve for x
    x = 126,130,062.89/14,544.34
  6. Step 6: Final answer
    x = 8,672.11

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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.