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Finding the Fourth Proportional to 16,900.78, 23,323.02 and 9,448.78

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Solution

The fourth proportional to 16,900.78, 23,323.02 and 9,448.78 is: 13,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.78 : 23,323.02 = 9,448.78 : x
  2. Step 2: Convert to fraction form
    16,900.78/23,323.02 = 9,448.78/x
  3. Step 3: Cross multiply
    16,900.78x = 23,323.02 × 9,448.78
  4. Step 4: Simplify right side
    16,900.78x = 220,374,084.92
  5. Step 5: Solve for x
    x = 220,374,084.92/16,900.78
  6. Step 6: Final answer
    x = 13,039.28

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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.