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Finding the Fourth Proportional to 16,085.81, 24,133.70 and 7,208.62

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Solution

The fourth proportional to 16,085.81, 24,133.70 and 7,208.62 is: 10,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.81 : 24,133.70 = 7,208.62 : x
  2. Step 2: Convert to fraction form
    16,085.81/24,133.70 = 7,208.62/x
  3. Step 3: Cross multiply
    16,085.81x = 24,133.70 × 7,208.62
  4. Step 4: Simplify right side
    16,085.81x = 173,970,672.49
  5. Step 5: Solve for x
    x = 173,970,672.49/16,085.81
  6. Step 6: Final answer
    x = 10,815.16

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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.