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Finding the Fourth Proportional to 14,849.78, 20,492.70 and 8,135.65

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Solution

The fourth proportional to 14,849.78, 20,492.70 and 8,135.65 is: 11,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849.78 : 20,492.70 = 8,135.65 : x
  2. Step 2: Convert to fraction form
    14,849.78/20,492.70 = 8,135.65/x
  3. Step 3: Cross multiply
    14,849.78x = 20,492.70 × 8,135.65
  4. Step 4: Simplify right side
    14,849.78x = 166,721,314.59
  5. Step 5: Solve for x
    x = 166,721,314.59/14,849.78
  6. Step 6: Final answer
    x = 11,227.19

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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.