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Finding the Fourth Proportional to 12,904.89, 17,816.51 and 8,436.12

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Solution

The fourth proportional to 12,904.89, 17,816.51 and 8,436.12 is: 11,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.89 : 17,816.51 = 8,436.12 : x
  2. Step 2: Convert to fraction form
    12,904.89/17,816.51 = 8,436.12/x
  3. Step 3: Cross multiply
    12,904.89x = 17,816.51 × 8,436.12
  4. Step 4: Simplify right side
    12,904.89x = 150,302,123.17
  5. Step 5: Solve for x
    x = 150,302,123.17/12,904.89
  6. Step 6: Final answer
    x = 11,646.92

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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.