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Finding the Fourth Proportional to 15,898.25, 21,940.61 and 9,184.16

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Solution

The fourth proportional to 15,898.25, 21,940.61 and 9,184.16 is: 12,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.25 : 21,940.61 = 9,184.16 : x
  2. Step 2: Convert to fraction form
    15,898.25/21,940.61 = 9,184.16/x
  3. Step 3: Cross multiply
    15,898.25x = 21,940.61 × 9,184.16
  4. Step 4: Simplify right side
    15,898.25x = 201,505,917.11
  5. Step 5: Solve for x
    x = 201,505,917.11/15,898.25
  6. Step 6: Final answer
    x = 12,674.73

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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.