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Finding the Fourth Proportional to 12,146.40, 16,769.78 and 9,913.61

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Solution

The fourth proportional to 12,146.40, 16,769.78 and 9,913.61 is: 13,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.40 : 16,769.78 = 9,913.61 : x
  2. Step 2: Convert to fraction form
    12,146.40/16,769.78 = 9,913.61/x
  3. Step 3: Cross multiply
    12,146.40x = 16,769.78 × 9,913.61
  4. Step 4: Simplify right side
    12,146.40x = 166,248,925.29
  5. Step 5: Solve for x
    x = 166,248,925.29/12,146.40
  6. Step 6: Final answer
    x = 13,687.09

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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.