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Finding the Fourth Proportional to 16,311.86, 22,510.43 and 9,509.91

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Solution

The fourth proportional to 16,311.86, 22,510.43 and 9,509.91 is: 13,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.86 : 22,510.43 = 9,509.91 : x
  2. Step 2: Convert to fraction form
    16,311.86/22,510.43 = 9,509.91/x
  3. Step 3: Cross multiply
    16,311.86x = 22,510.43 × 9,509.91
  4. Step 4: Simplify right side
    16,311.86x = 214,072,093.81
  5. Step 5: Solve for x
    x = 214,072,093.81/16,311.86
  6. Step 6: Final answer
    x = 13,123.71

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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.