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Finding the Fourth Proportional to 16,152.67, 22,289.54 and 9,080.16

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Solution

The fourth proportional to 16,152.67, 22,289.54 and 9,080.16 is: 12,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.67 : 22,289.54 = 9,080.16 : x
  2. Step 2: Convert to fraction form
    16,152.67/22,289.54 = 9,080.16/x
  3. Step 3: Cross multiply
    16,152.67x = 22,289.54 × 9,080.16
  4. Step 4: Simplify right side
    16,152.67x = 202,392,589.53
  5. Step 5: Solve for x
    x = 202,392,589.53/16,152.67
  6. Step 6: Final answer
    x = 12,529.98

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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.