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Finding the Fourth Proportional to 16,807.80, 23,195.32 and 9,254.50

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Solution

The fourth proportional to 16,807.80, 23,195.32 and 9,254.50 is: 12,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.80 : 23,195.32 = 9,254.50 : x
  2. Step 2: Convert to fraction form
    16,807.80/23,195.32 = 9,254.50/x
  3. Step 3: Cross multiply
    16,807.80x = 23,195.32 × 9,254.50
  4. Step 4: Simplify right side
    16,807.80x = 214,661,088.94
  5. Step 5: Solve for x
    x = 214,661,088.94/16,807.80
  6. Step 6: Final answer
    x = 12,771.52

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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.