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Finding the Fourth Proportional to 16,004, 22,084.08 and 10,033.76

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Solution

The fourth proportional to 16,004, 22,084.08 and 10,033.76 is: 13,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004 : 22,084.08 = 10,033.76 : x
  2. Step 2: Convert to fraction form
    16,004/22,084.08 = 10,033.76/x
  3. Step 3: Cross multiply
    16,004x = 22,084.08 × 10,033.76
  4. Step 4: Simplify right side
    16,004x = 221,586,358.54
  5. Step 5: Solve for x
    x = 221,586,358.54/16,004
  6. Step 6: Final answer
    x = 13,845.69

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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.