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Finding the Fourth Proportional to 17,378.94, 23,982.93 and 9,421.41

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Solution

The fourth proportional to 17,378.94, 23,982.93 and 9,421.41 is: 13,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.94 : 23,982.93 = 9,421.41 : x
  2. Step 2: Convert to fraction form
    17,378.94/23,982.93 = 9,421.41/x
  3. Step 3: Cross multiply
    17,378.94x = 23,982.93 × 9,421.41
  4. Step 4: Simplify right side
    17,378.94x = 225,953,016.53
  5. Step 5: Solve for x
    x = 225,953,016.53/17,378.94
  6. Step 6: Final answer
    x = 13,001.54

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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.