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Finding the Fourth Proportional to 16,526.21, 24,765.23 and 7,644.26

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Solution

The fourth proportional to 16,526.21, 24,765.23 and 7,644.26 is: 11,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.21 : 24,765.23 = 7,644.26 : x
  2. Step 2: Convert to fraction form
    16,526.21/24,765.23 = 7,644.26/x
  3. Step 3: Cross multiply
    16,526.21x = 24,765.23 × 7,644.26
  4. Step 4: Simplify right side
    16,526.21x = 189,311,938.10
  5. Step 5: Solve for x
    x = 189,311,938.10/16,526.21
  6. Step 6: Final answer
    x = 11,455.26

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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.