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Finding the Fourth Proportional to 16,812.86, 23,201.47 and 9,259.89

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Solution

The fourth proportional to 16,812.86, 23,201.47 and 9,259.89 is: 12,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,812.86 : 23,201.47 = 9,259.89 : x
  2. Step 2: Convert to fraction form
    16,812.86/23,201.47 = 9,259.89/x
  3. Step 3: Cross multiply
    16,812.86x = 23,201.47 × 9,259.89
  4. Step 4: Simplify right side
    16,812.86x = 214,843,060.04
  5. Step 5: Solve for x
    x = 214,843,060.04/16,812.86
  6. Step 6: Final answer
    x = 12,778.50

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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.