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Finding the Fourth Proportional to 16,151.41, 22,289.40 and 9,078.49

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Solution

The fourth proportional to 16,151.41, 22,289.40 and 9,078.49 is: 12,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151.41 : 22,289.40 = 9,078.49 : x
  2. Step 2: Convert to fraction form
    16,151.41/22,289.40 = 9,078.49/x
  3. Step 3: Cross multiply
    16,151.41x = 22,289.40 × 9,078.49
  4. Step 4: Simplify right side
    16,151.41x = 202,354,095.01
  5. Step 5: Solve for x
    x = 202,354,095.01/16,151.41
  6. Step 6: Final answer
    x = 12,528.57

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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.