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Finding the Fourth Proportional to 19,501.20, 29,257.20 and 9,640.80

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Solution

The fourth proportional to 19,501.20, 29,257.20 and 9,640.80 is: 14,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,501.20 : 29,257.20 = 9,640.80 : x
  2. Step 2: Convert to fraction form
    19,501.20/29,257.20 = 9,640.80/x
  3. Step 3: Cross multiply
    19,501.20x = 29,257.20 × 9,640.80
  4. Step 4: Simplify right side
    19,501.20x = 282,062,813.76
  5. Step 5: Solve for x
    x = 282,062,813.76/19,501.20
  6. Step 6: Final answer
    x = 14,463.87

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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.