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Finding the Fourth Proportional to 17,256.32, 23,812.38 and 9,701.24

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Solution

The fourth proportional to 17,256.32, 23,812.38 and 9,701.24 is: 13,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,256.32 : 23,812.38 = 9,701.24 : x
  2. Step 2: Convert to fraction form
    17,256.32/23,812.38 = 9,701.24/x
  3. Step 3: Cross multiply
    17,256.32x = 23,812.38 × 9,701.24
  4. Step 4: Simplify right side
    17,256.32x = 231,009,613.35
  5. Step 5: Solve for x
    x = 231,009,613.35/17,256.32
  6. Step 6: Final answer
    x = 13,386.96

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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.