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Finding the Fourth Proportional to 24,709.94, 34,098.37 and 14,499.61

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Solution

The fourth proportional to 24,709.94, 34,098.37 and 14,499.61 is: 20,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.94 : 34,098.37 = 14,499.61 : x
  2. Step 2: Convert to fraction form
    24,709.94/34,098.37 = 14,499.61/x
  3. Step 3: Cross multiply
    24,709.94x = 34,098.37 × 14,499.61
  4. Step 4: Simplify right side
    24,709.94x = 494,413,006.31
  5. Step 5: Solve for x
    x = 494,413,006.31/24,709.94
  6. Step 6: Final answer
    x = 20,008.67

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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.