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Finding the Fourth Proportional to 23,141.34, 34,680.96 and 12,024.90

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Solution

The fourth proportional to 23,141.34, 34,680.96 and 12,024.90 is: 18,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.34 : 34,680.96 = 12,024.90 : x
  2. Step 2: Convert to fraction form
    23,141.34/34,680.96 = 12,024.90/x
  3. Step 3: Cross multiply
    23,141.34x = 34,680.96 × 12,024.90
  4. Step 4: Simplify right side
    23,141.34x = 417,035,075.90
  5. Step 5: Solve for x
    x = 417,035,075.90/23,141.34
  6. Step 6: Final answer
    x = 18,021.22

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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.