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Finding the Fourth Proportional to 16,209.89, 22,368.78 and 9,040.54

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Solution

The fourth proportional to 16,209.89, 22,368.78 and 9,040.54 is: 12,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.89 : 22,368.78 = 9,040.54 : x
  2. Step 2: Convert to fraction form
    16,209.89/22,368.78 = 9,040.54/x
  3. Step 3: Cross multiply
    16,209.89x = 22,368.78 × 9,040.54
  4. Step 4: Simplify right side
    16,209.89x = 202,225,850.34
  5. Step 5: Solve for x
    x = 202,225,850.34/16,209.89
  6. Step 6: Final answer
    x = 12,475.46

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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.