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Finding the Fourth Proportional to 11,647.47, 16,069.99 and 10,524.81

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Solution

The fourth proportional to 11,647.47, 16,069.99 and 10,524.81 is: 14,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.47 : 16,069.99 = 10,524.81 : x
  2. Step 2: Convert to fraction form
    11,647.47/16,069.99 = 10,524.81/x
  3. Step 3: Cross multiply
    11,647.47x = 16,069.99 × 10,524.81
  4. Step 4: Simplify right side
    11,647.47x = 169,133,591.45
  5. Step 5: Solve for x
    x = 169,133,591.45/11,647.47
  6. Step 6: Final answer
    x = 14,521.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.