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Finding the Fourth Proportional to 27,117.84, 40,682.70 and 8,141.64

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Solution

The fourth proportional to 27,117.84, 40,682.70 and 8,141.64 is: 12,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,117.84 : 40,682.70 = 8,141.64 : x
  2. Step 2: Convert to fraction form
    27,117.84/40,682.70 = 8,141.64/x
  3. Step 3: Cross multiply
    27,117.84x = 40,682.70 × 8,141.64
  4. Step 4: Simplify right side
    27,117.84x = 331,223,897.63
  5. Step 5: Solve for x
    x = 331,223,897.63/27,117.84
  6. Step 6: Final answer
    x = 12,214.24

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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.