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Finding the Fourth Proportional to 27,658.50, 38,170.08 and 15,562.77

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Solution

The fourth proportional to 27,658.50, 38,170.08 and 15,562.77 is: 21,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.50 : 38,170.08 = 15,562.77 : x
  2. Step 2: Convert to fraction form
    27,658.50/38,170.08 = 15,562.77/x
  3. Step 3: Cross multiply
    27,658.50x = 38,170.08 × 15,562.77
  4. Step 4: Simplify right side
    27,658.50x = 594,032,175.92
  5. Step 5: Solve for x
    x = 594,032,175.92/27,658.50
  6. Step 6: Final answer
    x = 21,477.38

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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.