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Finding the Fourth Proportional to 17,080.78, 23,569.38 and 9,525.34

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Solution

The fourth proportional to 17,080.78, 23,569.38 and 9,525.34 is: 13,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,080.78 : 23,569.38 = 9,525.34 : x
  2. Step 2: Convert to fraction form
    17,080.78/23,569.38 = 9,525.34/x
  3. Step 3: Cross multiply
    17,080.78x = 23,569.38 × 9,525.34
  4. Step 4: Simplify right side
    17,080.78x = 224,506,358.09
  5. Step 5: Solve for x
    x = 224,506,358.09/17,080.78
  6. Step 6: Final answer
    x = 13,143.80

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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.