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Finding the Fourth Proportional to 12,145.84, 16,769.00 and 9,913.04

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Solution

The fourth proportional to 12,145.84, 16,769.00 and 9,913.04 is: 13,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.84 : 16,769.00 = 9,913.04 : x
  2. Step 2: Convert to fraction form
    12,145.84/16,769.00 = 9,913.04/x
  3. Step 3: Cross multiply
    12,145.84x = 16,769.00 × 9,913.04
  4. Step 4: Simplify right side
    12,145.84x = 166,231,760.12
  5. Step 5: Solve for x
    x = 166,231,760.12/12,145.84
  6. Step 6: Final answer
    x = 13,686.32

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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.