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Finding the Fourth Proportional to 23,809.70, 35,715.69 and 19,641.98

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Solution

The fourth proportional to 23,809.70, 35,715.69 and 19,641.98 is: 29,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.70 : 35,715.69 = 19,641.98 : x
  2. Step 2: Convert to fraction form
    23,809.70/35,715.69 = 19,641.98/x
  3. Step 3: Cross multiply
    23,809.70x = 35,715.69 × 19,641.98
  4. Step 4: Simplify right side
    23,809.70x = 701,526,957.96
  5. Step 5: Solve for x
    x = 701,526,957.96/23,809.70
  6. Step 6: Final answer
    x = 29,463.91

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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.