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Finding the Fourth Proportional to 19,376, 29,064.27 and 5,525

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Solution

The fourth proportional to 19,376, 29,064.27 and 5,525 is: 8,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,376 : 29,064.27 = 5,525 : x
  2. Step 2: Convert to fraction form
    19,376/29,064.27 = 5,525/x
  3. Step 3: Cross multiply
    19,376x = 29,064.27 × 5,525
  4. Step 4: Simplify right side
    19,376x = 160,580,091.75
  5. Step 5: Solve for x
    x = 160,580,091.75/19,376
  6. Step 6: Final answer
    x = 8,287.58

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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.