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Finding the Fourth Proportional to 16,036.49, 24,059.96 and 7,717.17

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Solution

The fourth proportional to 16,036.49, 24,059.96 and 7,717.17 is: 11,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,036.49 : 24,059.96 = 7,717.17 : x
  2. Step 2: Convert to fraction form
    16,036.49/24,059.96 = 7,717.17/x
  3. Step 3: Cross multiply
    16,036.49x = 24,059.96 × 7,717.17
  4. Step 4: Simplify right side
    16,036.49x = 185,674,762.93
  5. Step 5: Solve for x
    x = 185,674,762.93/16,036.49
  6. Step 6: Final answer
    x = 11,578.27

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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.