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Finding the Fourth Proportional to 16,078.84, 22,188.64 and 9,005.28

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Solution

The fourth proportional to 16,078.84, 22,188.64 and 9,005.28 is: 12,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.84 : 22,188.64 = 9,005.28 : x
  2. Step 2: Convert to fraction form
    16,078.84/22,188.64 = 9,005.28/x
  3. Step 3: Cross multiply
    16,078.84x = 22,188.64 × 9,005.28
  4. Step 4: Simplify right side
    16,078.84x = 199,814,916.02
  5. Step 5: Solve for x
    x = 199,814,916.02/16,078.84
  6. Step 6: Final answer
    x = 12,427.20

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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.