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Finding the Fourth Proportional to 16,208.76, 22,368.16 and 9,135.30

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Solution

The fourth proportional to 16,208.76, 22,368.16 and 9,135.30 is: 12,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.76 : 22,368.16 = 9,135.30 : x
  2. Step 2: Convert to fraction form
    16,208.76/22,368.16 = 9,135.30/x
  3. Step 3: Cross multiply
    16,208.76x = 22,368.16 × 9,135.30
  4. Step 4: Simplify right side
    16,208.76x = 204,339,852.05
  5. Step 5: Solve for x
    x = 204,339,852.05/16,208.76
  6. Step 6: Final answer
    x = 12,606.75

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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.