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Finding the Fourth Proportional to 27,677.12, 41,483.16 and 12,854.79

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Solution

The fourth proportional to 27,677.12, 41,483.16 and 12,854.79 is: 19,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.12 : 41,483.16 = 12,854.79 : x
  2. Step 2: Convert to fraction form
    27,677.12/41,483.16 = 12,854.79/x
  3. Step 3: Cross multiply
    27,677.12x = 41,483.16 × 12,854.79
  4. Step 4: Simplify right side
    27,677.12x = 533,257,310.34
  5. Step 5: Solve for x
    x = 533,257,310.34/27,677.12
  6. Step 6: Final answer
    x = 19,267.08

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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.