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Finding the Fourth Proportional to 14,434.56, 21,638.48 and 5,669.52

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Solution

The fourth proportional to 14,434.56, 21,638.48 and 5,669.52 is: 8,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.56 : 21,638.48 = 5,669.52 : x
  2. Step 2: Convert to fraction form
    14,434.56/21,638.48 = 5,669.52/x
  3. Step 3: Cross multiply
    14,434.56x = 21,638.48 × 5,669.52
  4. Step 4: Simplify right side
    14,434.56x = 122,679,795.13
  5. Step 5: Solve for x
    x = 122,679,795.13/14,434.56
  6. Step 6: Final answer
    x = 8,499.03

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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.