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Finding the Fourth Proportional to 12,208.98, 16,847.70 and 6,904.02

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Solution

The fourth proportional to 12,208.98, 16,847.70 and 6,904.02 is: 9,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.98 : 16,847.70 = 6,904.02 : x
  2. Step 2: Convert to fraction form
    12,208.98/16,847.70 = 6,904.02/x
  3. Step 3: Cross multiply
    12,208.98x = 16,847.70 × 6,904.02
  4. Step 4: Simplify right side
    12,208.98x = 116,316,857.75
  5. Step 5: Solve for x
    x = 116,316,857.75/12,208.98
  6. Step 6: Final answer
    x = 9,527.16

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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.