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Finding the Fourth Proportional to 23,220.63, 34,830.84 and 7,638.27

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Solution

The fourth proportional to 23,220.63, 34,830.84 and 7,638.27 is: 11,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,220.63 : 34,830.84 = 7,638.27 : x
  2. Step 2: Convert to fraction form
    23,220.63/34,830.84 = 7,638.27/x
  3. Step 3: Cross multiply
    23,220.63x = 34,830.84 × 7,638.27
  4. Step 4: Simplify right side
    23,220.63x = 266,047,360.25
  5. Step 5: Solve for x
    x = 266,047,360.25/23,220.63
  6. Step 6: Final answer
    x = 11,457.37

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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.