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Finding the Fourth Proportional to 14,436.18, 21,652.84 and 9,786.06

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Solution

The fourth proportional to 14,436.18, 21,652.84 and 9,786.06 is: 14,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436.18 : 21,652.84 = 9,786.06 : x
  2. Step 2: Convert to fraction form
    14,436.18/21,652.84 = 9,786.06/x
  3. Step 3: Cross multiply
    14,436.18x = 21,652.84 × 9,786.06
  4. Step 4: Simplify right side
    14,436.18x = 211,895,991.41
  5. Step 5: Solve for x
    x = 211,895,991.41/14,436.18
  6. Step 6: Final answer
    x = 14,678.12

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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.