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Finding the Fourth Proportional to 27,402, 37,814.76 and 14,826.84

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Solution

The fourth proportional to 27,402, 37,814.76 and 14,826.84 is: 20,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402 : 37,814.76 = 14,826.84 : x
  2. Step 2: Convert to fraction form
    27,402/37,814.76 = 14,826.84/x
  3. Step 3: Cross multiply
    27,402x = 37,814.76 × 14,826.84
  4. Step 4: Simplify right side
    27,402x = 560,673,396.16
  5. Step 5: Solve for x
    x = 560,673,396.16/27,402
  6. Step 6: Final answer
    x = 20,461.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.