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Finding the Fourth Proportional to 16,510.21, 22,778.54 and 9,431.62

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Solution

The fourth proportional to 16,510.21, 22,778.54 and 9,431.62 is: 13,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.21 : 22,778.54 = 9,431.62 : x
  2. Step 2: Convert to fraction form
    16,510.21/22,778.54 = 9,431.62/x
  3. Step 3: Cross multiply
    16,510.21x = 22,778.54 × 9,431.62
  4. Step 4: Simplify right side
    16,510.21x = 214,838,533.43
  5. Step 5: Solve for x
    x = 214,838,533.43/16,510.21
  6. Step 6: Final answer
    x = 13,012.47

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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.