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Finding the Fourth Proportional to 12,904.94, 17,806.47 and 8,662.16

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Solution

The fourth proportional to 12,904.94, 17,806.47 and 8,662.16 is: 11,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.94 : 17,806.47 = 8,662.16 : x
  2. Step 2: Convert to fraction form
    12,904.94/17,806.47 = 8,662.16/x
  3. Step 3: Cross multiply
    12,904.94x = 17,806.47 × 8,662.16
  4. Step 4: Simplify right side
    12,904.94x = 154,242,403.14
  5. Step 5: Solve for x
    x = 154,242,403.14/12,904.94
  6. Step 6: Final answer
    x = 11,952.20

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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.