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Finding the Fourth Proportional to 17,384.81, 23,992.02 and 9,828.38

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Solution

The fourth proportional to 17,384.81, 23,992.02 and 9,828.38 is: 13,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384.81 : 23,992.02 = 9,828.38 : x
  2. Step 2: Convert to fraction form
    17,384.81/23,992.02 = 9,828.38/x
  3. Step 3: Cross multiply
    17,384.81x = 23,992.02 × 9,828.38
  4. Step 4: Simplify right side
    17,384.81x = 235,802,749.51
  5. Step 5: Solve for x
    x = 235,802,749.51/17,384.81
  6. Step 6: Final answer
    x = 13,563.73

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1.5x scale

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.