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Finding the Fourth Proportional to 27,813.58, 41,712.10 and 14,658.77

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Solution

The fourth proportional to 27,813.58, 41,712.10 and 14,658.77 is: 21,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.58 : 41,712.10 = 14,658.77 : x
  2. Step 2: Convert to fraction form
    27,813.58/41,712.10 = 14,658.77/x
  3. Step 3: Cross multiply
    27,813.58x = 41,712.10 × 14,658.77
  4. Step 4: Simplify right side
    27,813.58x = 611,448,147.75
  5. Step 5: Solve for x
    x = 611,448,147.75/27,813.58
  6. Step 6: Final answer
    x = 21,983.80

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