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Finding the Fourth Proportional to 17,140.50, 25,712.82 and 6,044.91

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Solution

The fourth proportional to 17,140.50, 25,712.82 and 6,044.91 is: 9,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.50 : 25,712.82 = 6,044.91 : x
  2. Step 2: Convert to fraction form
    17,140.50/25,712.82 = 6,044.91/x
  3. Step 3: Cross multiply
    17,140.50x = 25,712.82 × 6,044.91
  4. Step 4: Simplify right side
    17,140.50x = 155,431,682.75
  5. Step 5: Solve for x
    x = 155,431,682.75/17,140.50
  6. Step 6: Final answer
    x = 9,068.10

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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.