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Finding the Fourth Proportional to 16,776, 23,152.32 and 9,325.44

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Solution

The fourth proportional to 16,776, 23,152.32 and 9,325.44 is: 12,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776 : 23,152.32 = 9,325.44 : x
  2. Step 2: Convert to fraction form
    16,776/23,152.32 = 9,325.44/x
  3. Step 3: Cross multiply
    16,776x = 23,152.32 × 9,325.44
  4. Step 4: Simplify right side
    16,776x = 215,905,571.02
  5. Step 5: Solve for x
    x = 215,905,571.02/16,776
  6. Step 6: Final answer
    x = 12,869.91

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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.