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Finding the Fourth Proportional to 19,618, 27,072.84 and 10,786

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Solution

The fourth proportional to 19,618, 27,072.84 and 10,786 is: 14,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,618 : 27,072.84 = 10,786 : x
  2. Step 2: Convert to fraction form
    19,618/27,072.84 = 10,786/x
  3. Step 3: Cross multiply
    19,618x = 27,072.84 × 10,786
  4. Step 4: Simplify right side
    19,618x = 292,007,652.24
  5. Step 5: Solve for x
    x = 292,007,652.24/19,618
  6. Step 6: Final answer
    x = 14,884.68

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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.