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Finding the Fourth Proportional to 18,123.48, 27,193.05 and 9,809.36

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Solution

The fourth proportional to 18,123.48, 27,193.05 and 9,809.36 is: 14,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123.48 : 27,193.05 = 9,809.36 : x
  2. Step 2: Convert to fraction form
    18,123.48/27,193.05 = 9,809.36/x
  3. Step 3: Cross multiply
    18,123.48x = 27,193.05 × 9,809.36
  4. Step 4: Simplify right side
    18,123.48x = 266,746,280.98
  5. Step 5: Solve for x
    x = 266,746,280.98/18,123.48
  6. Step 6: Final answer
    x = 14,718.27

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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.