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Finding the Fourth Proportional to 16,513.71, 22,783.36 and 9,435.12

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Solution

The fourth proportional to 16,513.71, 22,783.36 and 9,435.12 is: 13,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.71 : 22,783.36 = 9,435.12 : x
  2. Step 2: Convert to fraction form
    16,513.71/22,783.36 = 9,435.12/x
  3. Step 3: Cross multiply
    16,513.71x = 22,783.36 × 9,435.12
  4. Step 4: Simplify right side
    16,513.71x = 214,963,735.60
  5. Step 5: Solve for x
    x = 214,963,735.60/16,513.71
  6. Step 6: Final answer
    x = 13,017.29

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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.