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Finding the Fourth Proportional to 17,365.16, 23,963.94 and 9,407.42

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Solution

The fourth proportional to 17,365.16, 23,963.94 and 9,407.42 is: 12,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,365.16 : 23,963.94 = 9,407.42 : x
  2. Step 2: Convert to fraction form
    17,365.16/23,963.94 = 9,407.42/x
  3. Step 3: Cross multiply
    17,365.16x = 23,963.94 × 9,407.42
  4. Step 4: Simplify right side
    17,365.16x = 225,438,848.43
  5. Step 5: Solve for x
    x = 225,438,848.43/17,365.16
  6. Step 6: Final answer
    x = 12,982.25

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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.