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Finding the Fourth Proportional to 12,208.96, 16,849.20 and 6,901.84

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Solution

The fourth proportional to 12,208.96, 16,849.20 and 6,901.84 is: 9,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.96 : 16,849.20 = 6,901.84 : x
  2. Step 2: Convert to fraction form
    12,208.96/16,849.20 = 6,901.84/x
  3. Step 3: Cross multiply
    12,208.96x = 16,849.20 × 6,901.84
  4. Step 4: Simplify right side
    12,208.96x = 116,290,482.53
  5. Step 5: Solve for x
    x = 116,290,482.53/12,208.96
  6. Step 6: Final answer
    x = 9,525.01

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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.