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Finding the Fourth Proportional to 17,537.76, 26,307 and 5,851.08

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Solution

The fourth proportional to 17,537.76, 26,307 and 5,851.08 is: 8,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.76 : 26,307 = 5,851.08 : x
  2. Step 2: Convert to fraction form
    17,537.76/26,307 = 5,851.08/x
  3. Step 3: Cross multiply
    17,537.76x = 26,307 × 5,851.08
  4. Step 4: Simplify right side
    17,537.76x = 153,924,361.56
  5. Step 5: Solve for x
    x = 153,924,361.56/17,537.76
  6. Step 6: Final answer
    x = 8,776.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.