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Finding the Fourth Proportional to 23,641.20, 35,461.80 and 9,601.20

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Solution

The fourth proportional to 23,641.20, 35,461.80 and 9,601.20 is: 14,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.20 : 35,461.80 = 9,601.20 : x
  2. Step 2: Convert to fraction form
    23,641.20/35,461.80 = 9,601.20/x
  3. Step 3: Cross multiply
    23,641.20x = 35,461.80 × 9,601.20
  4. Step 4: Simplify right side
    23,641.20x = 340,475,834.16
  5. Step 5: Solve for x
    x = 340,475,834.16/23,641.20
  6. Step 6: Final answer
    x = 14,401.80

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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.