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Finding the Fourth Proportional to 22,782.86, 34,170.34 and 10,299.98

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Solution

The fourth proportional to 22,782.86, 34,170.34 and 10,299.98 is: 15,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.86 : 34,170.34 = 10,299.98 : x
  2. Step 2: Convert to fraction form
    22,782.86/34,170.34 = 10,299.98/x
  3. Step 3: Cross multiply
    22,782.86x = 34,170.34 × 10,299.98
  4. Step 4: Simplify right side
    22,782.86x = 351,953,818.59
  5. Step 5: Solve for x
    x = 351,953,818.59/22,782.86
  6. Step 6: Final answer
    x = 15,448.18

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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.