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Finding the Fourth Proportional to 16,078.32, 22,189.41 and 9,005.40

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Solution

The fourth proportional to 16,078.32, 22,189.41 and 9,005.40 is: 12,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.32 : 22,189.41 = 9,005.40 : x
  2. Step 2: Convert to fraction form
    16,078.32/22,189.41 = 9,005.40/x
  3. Step 3: Cross multiply
    16,078.32x = 22,189.41 × 9,005.40
  4. Step 4: Simplify right side
    16,078.32x = 199,824,512.81
  5. Step 5: Solve for x
    x = 199,824,512.81/16,078.32
  6. Step 6: Final answer
    x = 12,428.20

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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.