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Finding the Fourth Proportional to 16,470.31, 22,719.80 and 9,749.38

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Solution

The fourth proportional to 16,470.31, 22,719.80 and 9,749.38 is: 13,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.31 : 22,719.80 = 9,749.38 : x
  2. Step 2: Convert to fraction form
    16,470.31/22,719.80 = 9,749.38/x
  3. Step 3: Cross multiply
    16,470.31x = 22,719.80 × 9,749.38
  4. Step 4: Simplify right side
    16,470.31x = 221,504,059.10
  5. Step 5: Solve for x
    x = 221,504,059.10/16,470.31
  6. Step 6: Final answer
    x = 13,448.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.