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Finding the Fourth Proportional to 12,909.84, 17,822.16 and 9,135.96

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Solution

The fourth proportional to 12,909.84, 17,822.16 and 9,135.96 is: 12,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.84 : 17,822.16 = 9,135.96 : x
  2. Step 2: Convert to fraction form
    12,909.84/17,822.16 = 9,135.96/x
  3. Step 3: Cross multiply
    12,909.84x = 17,822.16 × 9,135.96
  4. Step 4: Simplify right side
    12,909.84x = 162,822,540.87
  5. Step 5: Solve for x
    x = 162,822,540.87/12,909.84
  6. Step 6: Final answer
    x = 12,612.28

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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.