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Finding the Fourth Proportional to 12,018.74, 16,582.54 and 7,772.29

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Solution

The fourth proportional to 12,018.74, 16,582.54 and 7,772.29 is: 10,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.74 : 16,582.54 = 7,772.29 : x
  2. Step 2: Convert to fraction form
    12,018.74/16,582.54 = 7,772.29/x
  3. Step 3: Cross multiply
    12,018.74x = 16,582.54 × 7,772.29
  4. Step 4: Simplify right side
    12,018.74x = 128,884,270.33
  5. Step 5: Solve for x
    x = 128,884,270.33/12,018.74
  6. Step 6: Final answer
    x = 10,723.61

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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.