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Finding the Fourth Proportional to 16,628.69, 22,945.75 and 9,913.05

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Solution

The fourth proportional to 16,628.69, 22,945.75 and 9,913.05 is: 13,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,628.69 : 22,945.75 = 9,913.05 : x
  2. Step 2: Convert to fraction form
    16,628.69/22,945.75 = 9,913.05/x
  3. Step 3: Cross multiply
    16,628.69x = 22,945.75 × 9,913.05
  4. Step 4: Simplify right side
    16,628.69x = 227,462,342.25
  5. Step 5: Solve for x
    x = 227,462,342.25/16,628.69
  6. Step 6: Final answer
    x = 13,678.91

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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.